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4. Structural organization of the book The structural organization of the book is presented below with a dependency graph of chapters, where Ch. 9 → Ch. 10 means that chapter 10 should be read following chapter 9, for example. Ch. 1 Ch.2 Ch.3 Ch.17 Ch. 13 Ch.18 Ch. 16 Ch. 19 Ch.5 Ch. 4 Ch. 23 Ch. 14 Ch. 10 Ch. 6 Ch.7 Ch.11 Ch. 15 Ch. 20 Ch. 8 Ch. 9 Ch. 12 Ch. 24 Ch. 22 Ch. 21 July 12, 1999 Jadavpur University Amit Konar
ABOUT THE AUTHOR Amit Konar is a Reader in the Department of Electronics and Telecommunication Engineering, Jadavpur University, Calcutta. He received a Ph.D. (Engineering) degree in Artificial Intelligence from the same university in 1994 and has been teaching the subject of Artificial Intelligence to the graduate students of his department for the last 10 years. Dr. Konar has supervised a number of Ph.D. and M.E. theses on different aspects of machine intelligence, including logic programming, neural networks, cognitive systems, stochastic and fuzzy models of uncertainty, fuzzy algebra, image understanding, architecture of intelligent machines and navigational planning of mobile robots. He has published more than 60 papers in international journals and conferences. He is an invited contributor of a book chapter in an edited book published by Academic Press. Dr. Konar is a recipient of the 1997 Young Scientist Award, offered by the All India Council for Technical Education (AICTE) for his significant contributions in Artificial Intelligence and Soft Computing.
Page 2 and 3: Artificial Intelligence and Soft Co
Page 4 and 5: Library of Congress Cataloging-in-P
Page 6 and 7: understanding of the subject. The r
Page 10 and 11: ACKNOWLEDGMENT The author gratefull
Page 12 and 13: To my parents, Mr. Sailen Konar and
Page 14 and 15: Chapter 2: The Psychological Perspe
Page 16 and 17: 5.4.2 Syntactic Methods for Theorem
Page 18 and 19: 9.4.4 Realization of Fuzzy Inferenc
Page 20 and 21: Chapter 14: Machine Learning Using
Page 22 and 23: 17.4.2.7 Fusing Multi-sensory Data
Page 24 and 25: 22.4 Parallelism at Knowledge Repre
Page 26 and 27: 1 Introduction to Artificial Intell
Page 28 and 29: instances of decision making [27],
Page 30 and 31: End. Begin state := new-states - ex
Page 32 and 33: (a) Generate and Test Approach: Thi
Page 34 and 35: this problem is useful for the foll
Page 36 and 37: disciplines. As a young discipline
Page 38 and 39: The bird and its attributes here ha
Page 40 and 41: [19] , Kosko [15] and Pedrycz [30]
Page 42 and 43: Reasoning in the presence of imprec
Page 44 and 45: where AI finds extensive applicatio
Page 46 and 47: M1 M2 M3 J2 J 1 8 5 J 2 J 1 2 8 J 2
Page 48 and 49: 1.5.3 The Modern Period The modern
Page 50 and 51: A B AND C D E AND Y Fig. 1.12: A Pe
Page 52 and 53: improve reliability by realizing fr
Page 54 and 55: in AI problems, it supports massive
Page 56 and 57: [7] Dean, T., Allen, J. and Aloimon
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[34] Rajendra, C. and Chaudhury, D.
Page 60 and 61:
2 The Psychological Perspective of
Page 62 and 63:
The scope of realization of the pro
Page 64 and 65:
2.2.3 Feature-based Approach for Pa
Page 66 and 67:
From Sensory Registers Echoic Reg.
Page 68 and 69:
cognitive memory and its utilizatio
Page 70 and 71:
Tulving’s model bridges a potenti
Page 72 and 73:
A " (a) (b) Fig. 2.6: The character
Page 74 and 75:
his friend s facial image in memory
Page 76 and 77:
sum need not be 180 degrees. Thus a
Page 78 and 79:
same evening. Then he started medit
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construction of knowledge and its o
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saved in a magnetic media, which he
Page 84 and 85:
set-point + error Controller Plant
Page 86 and 87:
Cognitive science has emerged as a
Page 88 and 89:
Further show that the Euclidean lea
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[4] Biswas, B., Mukherjee, A. K. an
Page 92 and 93:
[28] Peterson, M. A., Kihlstrom, J.
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Production Systems, Logical Calculu
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against the data items of the WM. I
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Suppose the WM contains the data Bi
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To demonstrate the working principl
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i) Prefer rules for firing, where u
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In fig. 3.3, the antecedent clauses
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possible offspring states are gener
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Backward Reasoning: The backward re
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p q r s denotes joint premises t w
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3.11.1 Isolation of Knowledge and C
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state, as the predecessor states of
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[3] Buchanan, B. G. and Shortliffe,
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issues: first ‘what to search’
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We will now present two typical alg
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Further, the first state within the
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n1 n2 n3 n8 (a) (b) (c) (d) (e) (f
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The iterative deepening search thus
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legal next states will also lie on
Page 130 and 131:
End. Then push those children into
Page 132 and 133:
Procedure Best-First-Search Begin 1
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End. have multiple parents; Under t
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node. Under this circumstance, the
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6. Pn- Γ the set of paths from nod
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Therefore, f * (n’) = g* (n’) +
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0 +10 B 1+3 C +4 D +5 E F G 2+2 3+1
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The above algorithm considers two d
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Step 1: X (7) Step 2: Step 3: U X (
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(iv) If all of the nodes connected
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If the values are propagated up to
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ii) the alpha value of any MAX node
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αmin =2 βmax =1 C αmin =1 e(n) =
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eductions. Constraint satisfaction
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5 The Logic of Propositions and Pre
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5.2 Formal Definitions The followin
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Definition 5.7: A propositional for
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5.4.1 Semantic Method for Theorem P
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8. p \/ (q Λ ¬ q) ⇔ p 9. p Λ (
Page 168 and 169:
) AND, OR Removal: If the L.H.S. co
Page 170 and 171:
Since all the terminals of the tree
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p v q ¬ q v r p v r ¬ p v s r v s
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Let AS = {A1, A2,, …..,An} be the
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4. If P is a WFF and X is not a qua
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original expression: ( ¬ P11 ∨
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S: = S ∪ {variable or constant /
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¬ Loves (john, mary) ¬Child (X)
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which implies that if q is true the
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ii) C is a ground instance of C [9]
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) p→ (q→ r) ⇔ (p Λ q) → r
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[6] Leinweber, D., “Knowledge-bas
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of a ‘classroom scene’ interpre
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Sits-on (Y, bench, classhour), Pers
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Sits-on (mita, bench, classhour). 3
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Teacher (X) Sub-goal fails Person (
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Definition 6.5: A definite goal is
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Example 6.5, presented below, illus
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6.6.1 Risk of Using CUT It is to be
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In the SLD tree for the Taxpayer pr
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6.9 Fixed Points in Non-Horn Clause
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6.11 Conclusions The main advantage
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preferred X50 >= 2, default X100
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7.1 Introduction Predicate Logic is
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proposed this logic and called it n
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We now present a few modal properti
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Expert Reasoning System New data Dy
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PR5: ¬Visits (Wife, market, Monday
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IN (n1) + IN (n2) + (n11) retracts
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may hold (and not must hold). An ex
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The resulting stable consequences t
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In this example, we call ψ = Bird
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important factor in non-monotonic r
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a) Boy(X) ∧ ¬ L ¬ Likes (X, cho
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8 Structured Approach to Knowledge
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predicate boy (jim). This can be re
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Consequently, we represent the abov
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Is-a Is-a Is-a Protozoa Bacteria Is
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Example 8.2: This example illustrat
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A common question that may be raise
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∴ q is true. 2) Defeasible deriva
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Examination Hall Seat Arrangement I
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Petri nets [5]. It, however, does n
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Since p1 and p 2 contain tokens and
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For building dependency structures,
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The most significant drawback of CD
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Once a script structure for a given
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[6] Nilsson, N. J., Principles of A
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techniques, we first introduce the
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of precision of data and certainty
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where D and S stand for disease and
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To illustrate the reasoning process
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2. It might happen that none of the
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One interesting property of Bayesia
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We now compute the messages that no
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The main steps [8], [12] of the bel
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Updating a node X thus involves upd
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j ↓ i→ round oval-shaped and MB
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Formally, the set of all possible o
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The orthogonal summation of belief
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The orthogonal summation operations
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integers, then we can definitely sa
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where a / b in fast-runner subset r
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where the “o” denotes a fuzzy A
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This may be formally written as µ
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cumulative maximum of the two succe
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“If you can manage to evaluate th
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[7] Shenoy, P. P. and Shafer, G.,
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10.1 Introduction Databases associa
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a finite set of places, D= {d1, d2
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µfast runner(x) 0.9 0.6 0.2 0.1 5
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present in the consequent part; Aug
Page 312 and 313:
Procedure Cycle-detection (P, Q, m,
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Procedure Put-transition (Newlistk,
Page 316 and 317:
The trace of the algorithm cycle- d
Page 318 and 319:
p1 p2 pm n1 n2 nm Fig. 10.4: A tran
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where the elements qw / ∈ {0, 1}
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Q' m and Rm matrices. It may be not
Page 324 and 325:
Definition 10.9: An arc is called p
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The procedure forward reasoning is
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In the above example, A, B, and C a
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n V (q k j ∧r j k ) to be close t
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Let us assume for the sake of simpl
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It is evident from the above distri
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= R b m o ((P ' f m) T o Nf c (t+1)
Page 338 and 339:
Since such choice of Rfm and Rbm sa
Page 340 and 341:
one step of belief revision in the
Page 342 and 343:
10.9 Conclusions The chapter presen
Page 344 and 345:
References [1] Bugarin, A. J. and B
Page 346 and 347:
[24] Looney, C. G., "Fuzzy Petri ne
Page 348 and 349:
11 Reasoning with Space and Time Th
Page 350 and 351:
The other one is an extension by ne
Page 352 and 353:
touches another, the common points
Page 354 and 355:
Procedure Move-optimal (R , Startin
Page 356 and 357:
at Jadavpur University verified thi
Page 358 and 359:
µ above(θ) =sin 2 θ , when -∏
Page 360 and 361:
c c a b q r a b (b) (a) d d p q r p
Page 362 and 363:
11.5 Temporal Reasoning by Situatio
Page 364 and 365:
Holds( now, rain-ceased) Axiom (3)
Page 366 and 367:
Interpretation I Interpretation II
Page 368 and 369:
Example 11.3: Prove that Ā(p) ≡
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11.6.3 Some Elementary Proofs in PT
Page 372 and 373:
The second rule is generally called
Page 374 and 375:
11.9 Conclusions The chapter demons
Page 376 and 377:
12 Intelligent Planning This chapte
Page 378 and 379:
sets opposite to the TV. So they oc
Page 380 and 381:
where On (X, Y) means the object X
Page 382 and 383:
this, let us consider the last prob
Page 384 and 385:
(B), we generate the old state 3, w
Page 386 and 387:
12.3 Least Commitment Planning The
Page 388 and 389:
To start solving the problem, we fi
Page 390 and 391:
We now have three partially ordered
Page 392 and 393:
12.4 Hierarchical Task Network Plan
Page 394 and 395:
d=0 d=1 d=2 d=3 Fig. 12.16: A hiera
Page 396 and 397:
J1 J2 M1 M2 M3 or Job schedules J2
Page 398 and 399:
job k from time 0. For example, the
Page 400 and 401:
3. Design a hierarchical plan for t
Page 402 and 403:
trainer, who supplies the input-out
Page 404 and 405:
Definition 13.1: An object is an en
Page 406 and 407:
The restriction of hypotheses can b
Page 408 and 409:
Positive instances: 1. Object (larg
Page 410 and 411:
To illustrate how LEX performs inte
Page 412 and 413:
alive dead Z=A/W 2 1 0 0 1 2 Living
Page 414 and 415:
where Pi denotes the proportion of
Page 416 and 417:
3. Apply Mapping Function: Apply th
Page 418 and 419:
determine the animals because it do
Page 420 and 421:
simplest form of reinforcement lear
Page 422 and 423:
Let us now assume that the game is
Page 424 and 425:
How can we compute the utility valu
Page 426 and 427:
13.5 Learning by Inductive Logic Pr
Page 428 and 429:
know f ? These questions can be ans
Page 430 and 431:
|H| (1-ε) m ≤ δ ⇒ m ≥ (1/ε
Page 432 and 433:
[7] Michalski, R. S., “A theory a
Page 434 and 435:
However, most biologists are of the
Page 436 and 437:
The most common non-linear function
Page 438 and 439:
(d) b1 a1 (e) c1 cj cq bi ah Fig.14
Page 440 and 441:
transverse diameter, etc. as the in
Page 442 and 443:
x 1 x 2 x n Penultimate layer ∑+F
Page 444 and 445:
Drawbacks of back-propagation algor
Page 446 and 447:
x1 x2 xn 14.6 Widrow-Hoff's Multi-l
Page 448 and 449:
x 1 x 2 x 1 x 2 The training proces
Page 450 and 451:
• If not, select another ADALINE,
Page 452 and 453:
ni 1 = '1' output ( firing ). Each
Page 454 and 455:
designed the weights (W) of a singl
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AND z1 s11 OR w11 w12 w 1n v 11 v12
Page 458 and 459:
− ~ w X k, l ∼ = ⎡ ⎤ ⎢
Page 460 and 461:
V x ∑ w O j = Sgn ( j+ ji i + A
Page 462 and 463:
neural nets in the fields mentioned
Page 464 and 465:
where the first summation is over a
Page 466 and 467:
circuit,” IEEE Trans. on Circuits
Page 468 and 469:
their joint usage in many problems,
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1 0 1 0 11 0 1 0 1 0 1 1 0 10 1 1 1
Page 472 and 473:
15.2 Deterministic Explanation of H
Page 474 and 475:
Thus, in a total of N selections wi
Page 476 and 477:
and population size = 2, which mean
Page 478 and 479:
The behavior of GA without mutation
Page 480 and 481:
a = ∑ Lt (π 0 P n ) i i=1 n→
Page 482 and 483:
Eθ GA Program Z1, Z2, Z3, Z4, X1,
Page 484 and 485:
e [W1 W2 W3 W4 W5 W6] T and [ G1 G2
Page 486 and 487:
function. So, GA in each evolution
Page 488 and 489:
f(x) = Sin (x) + [x * x + y] 1/2 ca
Page 490 and 491:
(EQ (DU(MT CS) (NOT CS)) (DU(MS NN)
Page 492 and 493:
[4] Chakraborty, U. K. and Muehlenb
Page 494 and 495:
16 Realizing Cognition Using Fuzzy
Page 496 and 497:
Cognitive maps are generally used f
Page 498 and 499:
Theorem 16.1: With initial values o
Page 500 and 501:
Here W T is a transposed weight mat
Page 502 and 503:
example, for moving one’s arm, th
Page 504 and 505:
and the weight adaptation equation
Page 506 and 507:
Xk+1 ∆Wk = α Ek οXk+1 T / ((Xk+
Page 508 and 509:
d5 d9 d1 d6 d7 d8 d10 d11 d1=Front
Page 510 and 511:
16.10 Conclusions and Future Direct
Page 512 and 513:
[6] Kosko, B., “Fuzzy cognitive m
Page 514 and 515:
however, have a narrow spectrum of
Page 516 and 517:
contaminated with it. However, for
Page 518 and 519:
1. Move the mask over the image, so
Page 520 and 521:
∇ 2 (g * f ) = ( ∇ 2 g ) * f. W
Page 522 and 523:
It may be noted that segmenting an
Page 524 and 525:
machine has to narrate the game onl
Page 526 and 527:
schematic diagram, briefly outlinin
Page 528 and 529:
same process for all clusters, we g
Page 530 and 531:
Level 1 Level 2 Level 0 Neuron Fig.
Page 532 and 533:
I (u, v) YI Fig. 17.12: Camera mode
Page 534 and 535:
epipolar planes meet the image plan
Page 536 and 537:
(a, b, 1) Fig. 17.15: A 3-D represe
Page 538 and 539:
case III: Planes not parallel to th
Page 540 and 541:
yi = -fi (xi,* ai - 1*) + ( fi / a
Page 542 and 543:
Sample Execution: This is a program
Page 544 and 545:
U t11 t12 t13 t14 x V = t21 t22 t23
Page 546 and 547:
obtained after linearizing measurem
Page 548 and 549:
co-ordinate systems. The correspond
Page 550 and 551:
18 Linguistic Perception Building p
Page 552 and 553:
psychological aspects of understand
Page 554 and 555:
S NP VP ART N VP the man VP V NP ki
Page 556 and 557:
( S ( NP ( ( ART the ) (N man ) ) (
Page 558 and 559:
Sentence: NP VP 1 6 NP: ART N 2 ART
Page 560 and 561:
18.2.3.1 Learning For adaptation of
Page 562 and 563:
context sensitive grammar is thus m
Page 564 and 565:
Generally, we start the sentence S
Page 566 and 567:
VP: V NP S0 S1 Tagged procedure V:=
Page 568 and 569:
Laugh agent animal enjoyer entity p
Page 570 and 571:
18.5 Discourse and Pragmatic Analys
Page 572 and 573:
Thus the elements of communicative
Page 574 and 575:
19 Problem Solving by Constraint Sa
Page 576 and 577:
The recognition problem is the pres
Page 578 and 579:
CSP deals with two classical proble
Page 580 and 581:
= 10 10 = 10 = * Fig. 19.2 (b): Pro
Page 582 and 583:
+ _ V1 R1 V 2 V3 I1 I2 I3 V R2 R3 S
Page 584 and 585:
V = Now assuming the values of V, R
Page 586 and 587:
On (A, Ta) ∧ On (B, Ta) ∧On (C,
Page 588 and 589:
We now represent the neighboring re
Page 590 and 591:
Step 1: (x
Page 592 and 593:
such variable xj , xk, etc., attach
Page 594 and 595:
of C3. If the constraints are liste
Page 596 and 597:
The possible labels of the junction
Page 598 and 599:
The main part of CSP is the formula
Page 600 and 601:
20 Acquisition of Knowledge Acquisi
Page 602 and 603:
invite the experts to attend a meet
Page 604 and 605:
B E A= test ?, B = test results, C
Page 606 and 607:
The database in fig. 20.2 is extrac
Page 608 and 609:
20.5 Knowledge Refinement by Hebbia
Page 610 and 611:
* * * n i ( t + 1) = n i ( t ) at t
Page 612 and 613:
L(r,s) L(s,r) Y(r) Y(s) OS(r,s) n1
Page 614 and 615:
The FPN of fig. 20.5 is formed with
Page 616 and 617:
L(a,l) L(l,a) Y(a) Y(l) OS(a,l) n1
Page 618 and 619:
[3] Cooke, N. and Macdonald, J.,
Page 620 and 621:
21 Validation, Verification and Mai
Page 622 and 623:
Here the problem characteristic is
Page 624 and 625:
The chapter will cover various issu
Page 626 and 627:
21.2.1 Qualitative Methods for Perf
Page 628 and 629:
Paired t-test: Suppose xi ∈ X and
Page 630 and 631:
Ancestor P = {p1,p2} Tr = {tr1,tr2,
Page 632 and 633:
21.3.2 Inconsistencies in Knowledge
Page 634 and 635:
q tr1 tr2 p1 p2 …………… pn
Page 636 and 637:
A rule may also include a number of
Page 638 and 639:
21.4 Maintenance of Knowledge Based
Page 640 and 641:
control of data and knowledge is un
Page 642 and 643:
8. Stefik, M., Introduction to Know
Page 644 and 645:
are not suitable for AI application
Page 646 and 647:
Because of non-determinism in the s
Page 648 and 649:
Procedure Partial-Expansion Begin W
Page 650 and 651:
Step: Fig.22.4: A tree expanded by
Page 652 and 653:
Procedure Generous-Sharing Begin Fl
Page 654 and 655:
To evaluate the performance of the
Page 656 and 657:
Definition 22.2: If the antecedents
Page 658 and 659:
a) AND -Parallelism Consider a logi
Page 660 and 661:
However, given sufficient computing
Page 662 and 663:
EPN = { P, Tr, D, f, m, A, a, I, o
Page 664 and 665:
It is to be noted that if- then ope
Page 666 and 667:
After the bindings of the variables
Page 668 and 669:
F(x) ← A(X) , B(Y) (1) A(1) ← (
Page 670 and 671:
the result produced by clause (2) m
Page 672 and 673:
Else Flag:= true; End; Until no-of
Page 674 and 675:
transition for the PTVVM. The PTVVM
Page 676 and 677:
For the sake of convenience, the pi
Page 678 and 679:
22.6 Conclusions The chapter starte
Page 680 and 681:
Rule 3: S(X, Y) → Z (Y, X) Rule 4
Page 682 and 683:
23 Case Study I: Building a System
Page 684 and 685:
features in human faces and their r
Page 686 and 687:
Definition 23.4: A linear edge segm
Page 688 and 689:
lock containing edge. The productio
Page 690 and 691:
Definition 23.13: The measure of di
Page 692 and 693:
Partitioning Fe into Blocks Feature
Page 694 and 695:
The fuzzy membership functions used
Page 696 and 697:
∆ • Fig. 23.4: The delta and th
Page 698 and 699:
Thus we have altogether 6 different
Page 700 and 701:
cross-section of the vocal tract, w
Page 702 and 703:
23.4.2 Training a Multi-layered Neu
Page 704 and 705:
information with their normalized v
Page 706 and 707:
SR (Y, X) OR (M (X) ∧ M (Y) ∧ L
Page 708 and 709:
procedure, however, no attempts hav
Page 710 and 711:
23.5.5 Belief Revision and Limitcyc
Page 712 and 713:
that the inferences will be minimal
Page 714 and 715:
the formation of the FPN. The FPN o
Page 716 and 717:
is then initiated for detecting the
Page 718 and 719:
initial fuzzy beliefs at all places
Page 720 and 721:
at all feasible x, y. Then estimate
Page 722 and 723:
[13] Malmberg, B., Manual of Phonet
Page 724 and 725:
24.1 Mobile Robots Mobile robots ar
Page 726 and 727:
about its world. There exists ample
Page 728 and 729:
the process, else it attempts to fi
Page 730 and 731:
Depending on the type of planning p
Page 732 and 733:
WEST NORTH SOUTH Fig. 24.5: Represe
Page 734 and 735:
NW child B NE child 'C' SW child 'D
Page 736 and 737:
As observed from the node status, t
Page 738 and 739:
In their evolutionary planner algor
Page 740 and 741:
tuning of the path, such as avoidin
Page 742 and 743:
S S= starting point, G= Goal point,
Page 744 and 745:
Once the training is over, the syst
Page 746 and 747:
N o Table 24.2: Training pattern sa
Page 748 and 749:
24.9.1 Finite State Machine Finite
Page 750 and 751:
occurrence of a state, but also in
Page 752 and 753:
24.10 An Application in a Soccer Pl
Page 754 and 755:
Exercises 1. Devise an algorithm fo
Page 756 and 757:
[15] Meng, H. and Picton, P. D.,
Page 758 and 759:
24 + The Expectations from the Read
Page 760 and 761:
Appendix A How to Run the Sample Pr
Page 762 and 763:
Predicate: LSR Argument1: S Argumen
Page 764 and 765:
ANTECEDENT 1: Predicate: END conclu
Page 766 and 767:
Rules properly arranged MAIN MENU:
Page 768 and 769:
Level POSITION_FROM_LEFT NODE 1 1 H
Page 770 and 771:
calculating membership values enter
Page 772 and 773:
C > File currently in progress = ci
Page 774 and 775:
When the goal is within concave obs
Page 776 and 777:
path selected 160,160 and 240,240 T
Page 778 and 779:
(a) Robot entering the room (b) Aft
Page 780 and 781:
where tr and Outr denote the target
Page 782 and 783:
∂E/∂Wsp = ∑r (∂E/∂Outr) (
Page 784 and 785:
Proof of theorem10.2: For an oscill
Page 786 and 787:
Thus, we get analogously , and 1 0
Page 788:
= Q 'f m T o Rf m o ( Q ' f m o I )
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Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

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