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Proceedings of the 8th International Conference on Intellectual ...

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C<strong>on</strong>stantin Bratianu et al.<br />

shows <str<strong>on</strong>g>the</str<strong>on</strong>g> directi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> future development. In any producti<strong>on</strong> engineering field or any management<br />

activity people do make decisi<strong>on</strong>s which have c<strong>on</strong>sequences. These decisi<strong>on</strong> making processes are<br />

irreversible and we have to develop entropic thinking models in order to understand and to find <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

best soluti<strong>on</strong>s.<br />

2.2 Complexity dimensi<strong>on</strong><br />

Linear thinking model is used to approximate complexity <str<strong>on</strong>g>of</str<strong>on</strong>g> our envir<strong>on</strong>ment. It is like we use<br />

frequently linear segments to approximate curves <str<strong>on</strong>g>of</str<strong>on</strong>g> different shapes. Linear thinking has been<br />

defined in literature in two different ways. One is starting from <str<strong>on</strong>g>the</str<strong>on</strong>g> ma<str<strong>on</strong>g>the</str<strong>on</strong>g>matical definiti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> linear<br />

spaces (Bratianu, 2009; Bratianu & Vasilache, 2010), and o<str<strong>on</strong>g>the</str<strong>on</strong>g>r c<strong>on</strong>siders a broader perspective<br />

given by <str<strong>on</strong>g>the</str<strong>on</strong>g> Cartesian dualism mind and body (Groves et al., 2008; Vance et al., 2007). In this<br />

sec<strong>on</strong>d case, <str<strong>on</strong>g>the</str<strong>on</strong>g> distincti<strong>on</strong> is being made between cognitive intelligence and emoti<strong>on</strong>al intelligence.<br />

Basically, linear thinking assumes that for a given transformati<strong>on</strong> process, <str<strong>on</strong>g>the</str<strong>on</strong>g> output variables are<br />

proporti<strong>on</strong>al with <str<strong>on</strong>g>the</str<strong>on</strong>g> input variables. Thus, if we know <str<strong>on</strong>g>the</str<strong>on</strong>g> input variables and <str<strong>on</strong>g>the</str<strong>on</strong>g> process c<strong>on</strong>stants<br />

we just multiply <str<strong>on</strong>g>the</str<strong>on</strong>g>m and get <str<strong>on</strong>g>the</str<strong>on</strong>g> outputs variables. It is such an easy thinking model that most <str<strong>on</strong>g>of</str<strong>on</strong>g> our<br />

everyday life is based <strong>on</strong> it. All measurements systems are developed according to linear thinking. In<br />

research, we use frequently linear models especially to express physical material properties and <str<strong>on</strong>g>the</str<strong>on</strong>g>ir<br />

behavior under different fields <str<strong>on</strong>g>of</str<strong>on</strong>g> mechanical, <str<strong>on</strong>g>the</str<strong>on</strong>g>rmal or electromagnetic forces. There are many<br />

o<str<strong>on</strong>g>the</str<strong>on</strong>g>r fields <str<strong>on</strong>g>of</str<strong>on</strong>g> activities where people are using linear thinking, without even questi<strong>on</strong>ing its legitimacy<br />

or accuracy. For instance, budgetary salaries are based <strong>on</strong> linear thinking, making hard any<br />

differentiati<strong>on</strong> am<strong>on</strong>g different people according to <str<strong>on</strong>g>the</str<strong>on</strong>g>ir individual experience, competence,<br />

c<strong>on</strong>tributi<strong>on</strong> and performance. Due to this fact, incentives and motivati<strong>on</strong> are very low in any<br />

budgetary systems, by comparis<strong>on</strong> with performance based evaluati<strong>on</strong> and payment in business<br />

organizati<strong>on</strong>s. The most characteristic operati<strong>on</strong> in linear thinking is additi<strong>on</strong>.<br />

N<strong>on</strong>linear thinking model uses correlati<strong>on</strong>s between output variables and input variables which have<br />

n<strong>on</strong>linear ma<str<strong>on</strong>g>the</str<strong>on</strong>g>matical formulati<strong>on</strong>s, like polynomials, exp<strong>on</strong>entials, logarithms, sine and cosine<br />

functi<strong>on</strong>s, integrals, derivatives etc. Of course, that is a much more difficult approach but it is closer to<br />

real phenomena. The point we try to make is that a pers<strong>on</strong> who thinks <strong>on</strong>ly in a linear way cannot<br />

understand accurately complex phenomena which have a n<strong>on</strong>linear nature. <strong>Intellectual</strong>, emoti<strong>on</strong>al<br />

and creative processes are highly n<strong>on</strong>linear (Bratianu, 2011; Gardner, 2006; Goleman, 1995). It is a<br />

mistake to evaluate <str<strong>on</strong>g>the</str<strong>on</strong>g>m based <strong>on</strong> linear models. Innovati<strong>on</strong> and creativity are highly n<strong>on</strong>linear<br />

processes. Thus, for a successful management which develops innovative strategies in order to<br />

obtain a strategic competitive advantage n<strong>on</strong>linear thinking is <str<strong>on</strong>g>the</str<strong>on</strong>g> <strong>on</strong>ly possible approach. In <str<strong>on</strong>g>the</str<strong>on</strong>g> same<br />

time managers must develop new metrics for progress evaluati<strong>on</strong> and for excellence stimulati<strong>on</strong>.<br />

2.3 Uncertainty dimensi<strong>on</strong><br />

Deterministic thinking model is based <strong>on</strong> idea that things and events must be well defined and<br />

determined before <str<strong>on</strong>g>the</str<strong>on</strong>g>y happen. Actually, <str<strong>on</strong>g>the</str<strong>on</strong>g>y happen due to our way <str<strong>on</strong>g>of</str<strong>on</strong>g> determining <str<strong>on</strong>g>the</str<strong>on</strong>g>m. Their<br />

occurrence is certain. That means that <str<strong>on</strong>g>the</str<strong>on</strong>g>ir probability <str<strong>on</strong>g>of</str<strong>on</strong>g> happening is always equal to <strong>on</strong>e. Also, we<br />

may say that chances to occur such an event are 100%. There is no uncertainty and thus no risk<br />

associated to such a deterministic thinking. For instance, 2+2=4 is true anytime, and everywhere.<br />

There is no questi<strong>on</strong> about it. Actually, deterministic thinking is a social inventi<strong>on</strong> made in order to<br />

reduce chaos and to enable some kind <str<strong>on</strong>g>of</str<strong>on</strong>g> activities to take place. One <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> best examples <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

deterministic thinking is <str<strong>on</strong>g>the</str<strong>on</strong>g> time schedule for trains and for airplanes. Without such a time schedule<br />

no coordinati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g>ir circulati<strong>on</strong> or flight can be d<strong>on</strong>e. Deterministic thinking is necessary in<br />

organizing <str<strong>on</strong>g>the</str<strong>on</strong>g> traffic <strong>on</strong> public roads and highways. The rules established for car driving by legislati<strong>on</strong><br />

is a clear model <str<strong>on</strong>g>of</str<strong>on</strong>g> a deterministic thinking. And we have to emphasize <str<strong>on</strong>g>the</str<strong>on</strong>g> fact that we need such<br />

kind <str<strong>on</strong>g>of</str<strong>on</strong>g> thinking at social level. The questi<strong>on</strong> is how much <str<strong>on</strong>g>of</str<strong>on</strong>g> our social life, organizati<strong>on</strong>al life or family<br />

life should be ruled by such a deterministic thinking? We should not forget that deterministic thinking,<br />

excessive discipline and order in any organizati<strong>on</strong> kill incentives and innovati<strong>on</strong> which might produce<br />

outcomes in c<strong>on</strong>flict with <str<strong>on</strong>g>the</str<strong>on</strong>g> well established order. Deterministic thinking has been used extensively<br />

by scientists and engineers. Most <str<strong>on</strong>g>of</str<strong>on</strong>g> all <str<strong>on</strong>g>the</str<strong>on</strong>g> science laws we studied in schools and universities are<br />

actually a product <str<strong>on</strong>g>of</str<strong>on</strong>g> a deterministic thinking.<br />

Probabilistic thinking model is based <strong>on</strong> <str<strong>on</strong>g>the</str<strong>on</strong>g> fact that uncertainty is <str<strong>on</strong>g>the</str<strong>on</strong>g> rule and not <str<strong>on</strong>g>the</str<strong>on</strong>g> excepti<strong>on</strong>.<br />

In nature, society and life events do not have certain outcomes. Events occurrence has a probabilistic<br />

nature and <str<strong>on</strong>g>the</str<strong>on</strong>g>y may happen with some probabilities (Taleb, 2004). One <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> most known example<br />

is <str<strong>on</strong>g>the</str<strong>on</strong>g> wea<str<strong>on</strong>g>the</str<strong>on</strong>g>r forecast. We learn from TV programs or from newspapers how <str<strong>on</strong>g>the</str<strong>on</strong>g> wea<str<strong>on</strong>g>the</str<strong>on</strong>g>r will<br />

101

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