An Ontological and Epistemological Perspective of Fuzzy Set by I. Burhan Türksen

By I. Burhan Türksen

Fuzzy set and common sense concept recommend that every one traditional language linguistic expressions are obscure and needs to be assessed as a question of measure. yet regularly club measure is an obscure inspiration which calls for that style 2 club levels be thought of in such a lot purposes with regards to human choice making schemas. whether the club services are limited to be Type1, their mixtures generate an period - valued variety 2 club. this is often a part of the final end result that Classical equivalences breakdown in Fuzzy idea. hence all classical formulation needs to be reassessed with an higher and decrease expression which are generated by means of the breakdown of classical formulation.

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On the Ontological Level 2, it seems that most "traditional" fuzzy theorists have at least implicitly o accepted the non-Cartesian s < > O model, as descried above. For example, in many current fuzzy rule bases, the experts determine the membership functions and the rules subjectively based on their experience and expert knowledge or fuzzy clustering methods are used to elicit membership function and rules with an added review by experts. On the General Epistemological Levels 3 and 4, many of the philosophical disagreements become more obvious while it is known that the classical set and logic theory model takes up an objectivist stance at this level, it is clear that fuzzy theories do not in general accept this position.

Nor is it surprising that their critical writing have quite a different tone as well and perhaps even a different implicit epistemological leaning. For all these reasons and more, we have proposed that at the very foundation of the Ontological level, we need to consider the " S < > O " paradigm to push to the surface the integrated subjective-objective stand that is investigated by most fuzzy set and logic theory researchers in many different directions. 10. 4 can summarize an important set of philosophical stances adopted by any given set and logic theory as we have illustrated with the examples given for the Classical Set and Logic theory and Fuzzy Set and Logic theories.

This may be considered the first stage of fuzzy theory which had no practical applications. ". approach provides an approximate and yet effective means of describing the behaviour of systems which are too complex or too ill-defined to admit of precise mathematical analysis. Its main applications lie in economics, management science, artificial intelligence, psychology, linguistics, information retrieval, medicine, biology and other fields in which the dominant role is played by the animate rather than inanimate behavior of system constituents".

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