1981: Ch<strong>in</strong>a established “Ch<strong>in</strong>a Fuzzy Mathematics andSystem Association.” The members were ma<strong>in</strong>ly mathematicianswho were specialized <strong>in</strong> conduct<strong>in</strong>g research <strong>in</strong> the<strong>fuzzy</strong> mathematics theories. By do<strong>in</strong>g so, <strong>fuzzy</strong> <strong>theory</strong> wasstrengthened <strong>in</strong> the scope <strong>of</strong> mathematics.1981: Ch<strong>in</strong>a published “Journal <strong>of</strong> Fuzzy Mathematics,”the second journal on <strong>fuzzy</strong> <strong>theory</strong>. In 1987, it was renamedto “Fuzzy System and Mathematics.” S<strong>in</strong>ce then, Ch<strong>in</strong>a tooka lead<strong>in</strong>g role <strong>in</strong> <strong>fuzzy</strong> mathematics theories.1983: D. S<strong>in</strong>gh have used <strong>fuzzy</strong> <strong>set</strong> <strong>theory</strong> to solve l<strong>in</strong>earand/or non-l<strong>in</strong>ear vector maximum problems.1984: The International Fuzzy Systems Association was<strong>set</strong> up this organization dedicated to support, developmentand fundamental issues <strong>of</strong> <strong>fuzzy</strong> <strong>set</strong> <strong>theory</strong>. Pr<strong>of</strong>. H.J. Zimmermann<strong>of</strong> Technical University <strong>of</strong> Berl<strong>in</strong> was elected to bethe chairman.1984: Orlovsky has formulated MONLP problems with<strong>fuzzy</strong> parameters.1985: The first Fuzzy IFSA World Congress was held <strong>in</strong>Spa<strong>in</strong>. There were a total <strong>of</strong> 290 researchers from 29 countriesattend<strong>in</strong>g the congress. It is <strong>of</strong> <strong>in</strong>terest to note that theconference papers were ma<strong>in</strong>ly related to theoretical foundations,but not practical applications.1986:. Japan <strong>set</strong> up “Japan Society <strong>of</strong> Fuzzy Theory andSystem (SOFT)”1986:. Fuji electrical eng<strong>in</strong>eer<strong>in</strong>g, Fuji Facom and TokyoIndustry University had applied <strong>fuzzy</strong> control <strong>theory</strong> tomanage the import <strong>of</strong> clear water system and they had got avery good result.1987: The second Fuzzy IFSA World Congress was held<strong>in</strong> Tokyo. There were a total <strong>of</strong> 380 researchers from 25countries attend<strong>in</strong>g the congress. There were a total <strong>of</strong> 250conference papers and many <strong>of</strong> them were related to practicalapplications.1987: Japan first applied Fuzzy Control to successfullyaccomplish automatic driv<strong>in</strong>g systems.1988: The first Neural Networks and Fuzzy Logic AppliedTechnical Conference were held <strong>in</strong> NASA.1989: The third Fuzzy IFSA World Congress was held <strong>in</strong>Seattle, and there were numerous conference papers on practicalapplications.1989: The Laboratory for International Fuzzy Eng<strong>in</strong>eer<strong>in</strong>gResearch was <strong>set</strong> up, which was ma<strong>in</strong>ly composed <strong>of</strong> <strong>in</strong>dustrypractitioners, government <strong>of</strong>ficials, and academics.1989: The “Ch<strong>in</strong>a‟s Governmental Natural Science Fund<strong>in</strong>gCommittee” funded 1,350 thousand RMB dollars to <strong>set</strong>up 35 tertiary schools and research organizations so as to<strong>in</strong>vestigate a research project entitled „Fuzzy Message Managementand Mechanical Intelligence,‟ which was led byPr<strong>of</strong>essor P.Z. Wang.1989: The Ch<strong>in</strong>a Productivity Centre <strong>set</strong> up a FuzzyGroup to <strong>in</strong>troduce <strong>fuzzy</strong> techniques and advocate the <strong>fuzzy</strong>theories.1989: Sakawa and Yano have presented an <strong>in</strong>teractive<strong>fuzzy</strong> satisfic<strong>in</strong>g method for MONLP problems with <strong>fuzzy</strong>numbersInternational Journal <strong>of</strong> Advanced Technology & Eng<strong>in</strong>eer<strong>in</strong>g Research (IJATER)www.<strong>ijater</strong>.com1990: R.K. Verma have considered multi-objective geometricproblem <strong>in</strong> the <strong>fuzzy</strong> environment.1991: The fourth Fuzzy IFSA World Congress was held <strong>in</strong>Belgium.1993: An academic journal entitled “IEEE Transaction onFuzzy Systems” was first published.1993: The fifth Fuzzy IFSA World Congress was held <strong>in</strong>South Korea. The themes <strong>of</strong> conference papers <strong>in</strong>cludedcontrol system, image process<strong>in</strong>g, mach<strong>in</strong>e video, medicaldiagnosis, share prediction, synthetic <strong>assessment</strong>, managementtechnology, and system research.1993: The First Asia Fuzzy Symposium was held <strong>in</strong> S<strong>in</strong>gapore.1993: The first Fuzzy Theory and its Applications Conferencewas jo<strong>in</strong>tly organized by Ts<strong>in</strong>g Wah University andJiao Tong University.1994: The Republic <strong>of</strong> Ch<strong>in</strong>a Fuzzy Association was <strong>set</strong>up.1994: The second Fuzzy Theory and its Applications Conferencewas held <strong>in</strong> Taiwan, which was jo<strong>in</strong>tly organized byTaiwan University and Taiwan Industrial Technical University.1994: The sixth Fuzzy IFSA World Congress was held <strong>in</strong>the United States.1997: Generalized Modus Ponens1999: Application <strong>of</strong> the Fuzzy Logic <strong>in</strong> Traffic Controland Transportation Plann<strong>in</strong>g2001: Fuzzy goal programm<strong>in</strong>g model for design <strong>of</strong> multiobjective cellular manufactur<strong>in</strong>g system2003: Fuzzy Control for real Nuclear Reactor Operations2005: Use <strong>of</strong> Fuzzy for Dynamic Data M<strong>in</strong><strong>in</strong>g2007: Fuzzy Logic for Internet Application2011: Application <strong>of</strong> Fuzzy Logic <strong>in</strong> Rout<strong>in</strong>g <strong>in</strong> Ad-HocWireless Network2012: Use <strong>of</strong> Fuzzy Logic <strong>in</strong> Estimat<strong>in</strong>g Reliability <strong>of</strong>Component Based S<strong>of</strong>tware3. Application <strong>of</strong> <strong>fuzzy</strong> <strong>set</strong> <strong>theory</strong>Pr<strong>of</strong>. L. A. Zadeh (20) laid the foundation <strong>of</strong> <strong>fuzzy</strong> <strong>set</strong><strong>theory</strong>, which is the generalization <strong>of</strong> classical <strong>set</strong> <strong>theory</strong>.Due to this generalization, <strong>theory</strong> <strong>of</strong> <strong>fuzzy</strong> <strong>set</strong>s has a widerscope <strong>of</strong> applicability than that <strong>of</strong> an abstract <strong>set</strong> <strong>theory</strong> <strong>in</strong>solv<strong>in</strong>g problems, which <strong>in</strong>volves subjective evaluation tosome extent. In about four decades <strong>of</strong> its existence, it hasbeen used <strong>in</strong> many areas. Fuzzy logic works by turn<strong>in</strong>g thehard-edged world <strong>of</strong> b<strong>in</strong>ary logic <strong>in</strong>to more natural humanlike reason<strong>in</strong>g. Medic<strong>in</strong>e was one <strong>of</strong> the first fields <strong>in</strong> whichit was applied. After its formal <strong>in</strong>troduction, the use <strong>of</strong> <strong>fuzzy</strong>concepts was extended from the philosophy <strong>of</strong> medic<strong>in</strong>e tothe technology <strong>of</strong> medic<strong>in</strong>e. This medical application <strong>of</strong><strong>fuzzy</strong> <strong>set</strong>s, systems, and relations appeared shortly after developmentmedical expert systems [74], [75]. The <strong>theory</strong>was used to deal with vagueness <strong>in</strong> perceptions <strong>of</strong> realityphenomena. Many companies are us<strong>in</strong>g <strong>fuzzy</strong> logic to en-ISSN No: 2250-3536 Volume 3, Issue 3, May 2013 17
International Journal <strong>of</strong> Advanced Technology & Eng<strong>in</strong>eer<strong>in</strong>g Research (IJATER)www.<strong>ijater</strong>.comhance th<strong>in</strong>gs like automobile parts, air conditioners, computers,elevators, rice cooker, microwave ovens, cameras, televisions,antilock brake systems and wash<strong>in</strong>g mach<strong>in</strong>es etc.In medical field, expert systems us<strong>in</strong>g <strong>fuzzy</strong> concepts helpdoctors to diagnosis the many diseases. Dur<strong>in</strong>g last two decades,it has been developed <strong>in</strong> the direction <strong>of</strong> a powerful„<strong>fuzzy</strong>‟ mathematics.4. Fuzzy <strong>set</strong> <strong>theory</strong> <strong>in</strong> <strong>different</strong>science and eng<strong>in</strong>eer<strong>in</strong>g <strong>paradigm</strong>(3) Statistics & probabilityCurve Fitt<strong>in</strong>g, Regression Quality Control, PossibilityTheory, Probability Theory etc.(4) Computer scienceExpert Systems, Database Design, Artificial Intelligent, PatternRecognition, Speech Recognition, Image Process<strong>in</strong>g etc.(5) Eng<strong>in</strong>eer<strong>in</strong>gArchitecture, Build<strong>in</strong>g Damage Assessment, Design Experts,Switch<strong>in</strong>g Circuits, Earth Quake, Traffic Control, AircraftControl, Automatic Control, Robotics, Heat ExchangeProcess, Steam Eng<strong>in</strong>e, Automatic Translation, Preservationand Safety systems, Automatic Design, Picture Recognition,Fault Analysis, Intelligent Sensors, Blast Furnace Control,Cold Roll<strong>in</strong>g Control, Automatic Tra<strong>in</strong> operation, Dam-Reservoir, Water Temperature Predication, Surface M<strong>in</strong><strong>in</strong>gPlann<strong>in</strong>g, Wireless Sensor Network etc.(6) Decision mak<strong>in</strong>gManagement Decision mak<strong>in</strong>g, Multistage or dynamic decisionmak<strong>in</strong>g, collective decision mak<strong>in</strong>g, possibility decisionmak<strong>in</strong>g, adm<strong>in</strong>istrative decision mak<strong>in</strong>g, multiple criteriadecision mak<strong>in</strong>g etc.(7) ManagementBus<strong>in</strong>ess management, personal management, safety management,market<strong>in</strong>g, <strong>in</strong>vestment advis<strong>in</strong>g, managementplann<strong>in</strong>g, system operation ,contract support, <strong>of</strong>fice automation,environmental evaluation, product evaluation, tra<strong>in</strong><strong>in</strong>gsystem, new product development etc.5. Some areas <strong>of</strong> <strong>fuzzy</strong> <strong>set</strong> <strong>theory</strong>(1) MathematicsGraph Theory, Group Theory, L<strong>in</strong>ear Algebra, Cryptography,Topology, Logic, Measure Theory, Automata Theory,Systems Theory, Information Theory, Stability Theory etc.(2) Operations researchL<strong>in</strong>ear programm<strong>in</strong>g, Integer programm<strong>in</strong>g, Transportation,Mixed Integer programm<strong>in</strong>g, Non-L<strong>in</strong>ear Programm<strong>in</strong>g,Quadratic Programm<strong>in</strong>g, Geometric Programm<strong>in</strong>g, Fractionalprogramm<strong>in</strong>g, Goal Programm<strong>in</strong>g, Parametric Programm<strong>in</strong>g,Dynamic Programm<strong>in</strong>g, Network Programm<strong>in</strong>g, StochasticProgramm<strong>in</strong>g, Inventory Control, Project Evaluation,Risk Analysis, Production Schedul<strong>in</strong>g etc.(8) Medical scienceCoronary Disease, Medical Diagnostic, ElectrocardiologicalDiagnosis Process, Treatment with Oriental Medic<strong>in</strong>es, ArtificialOrgan Control ,Nurs<strong>in</strong>g Robots , Post TreatmentCare, Health Systems, Artificial Limbs for Medical Fields,Semiology, Lung disease etc.(9) Natural, life and social sciencesPsychology, Cognitive Science (Concept Formulation andManipulation, Memory and Learn<strong>in</strong>g), Sociology, Economics,Ecology, Meteorology/Weather Forecast<strong>in</strong>g, Weatherprediction, Biology, Interpersonal Communication, BehaviorModification, Forensic Data Analysis, Geography, PublicPolicy etc.(10) Agricultural eng<strong>in</strong>eer<strong>in</strong>gAgricultural production and process<strong>in</strong>g, Discipl<strong>in</strong>es <strong>of</strong> AnimalBiology, Plant Biology, Mechanical, Civil, Electricaland Chemical eng<strong>in</strong>eer<strong>in</strong>g pr<strong>in</strong>ciples with knowledge <strong>of</strong>agricultural pr<strong>in</strong>ciples.ISSN No: 2250-3536 Volume 3, Issue 3, May 2013 18
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