By I. Burhan Türksen

Fuzzy set and good judgment idea recommend that each one common language linguistic expressions are obscure and needs to be assessed as a question of measure. yet generally club measure is an obscure proposal which calls for that style 2 club levels be thought of in so much functions regarding human choice making schemas. whether the club features are constrained to be Type1, their mixtures generate an period - valued variety 2 club. this is often a part of the overall end result that Classical equivalences breakdown in Fuzzy thought. therefore all classical formulation needs to be reassessed with an top and decrease expression which are generated via the breakdown of classical formulation.

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Negation) De Morgan Triple. 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.

Many or most of the major fuzzy theories appear to adopt a realist position on the Ontological Level 1. This group accepts the seminal paper of L. A. , (Max, Min, St. negation) De Morgan Triple. 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.

Most of all concepts are definable to be true to a degree. , |LIA:X^^[0,1] is not reducible to |LIA:X^^{0,1}. , jiv-M^A -^ {T,F} absolutely in Descriptive fuzzy set theory, where V{T,F}? or V{o,i}, is the veristic assignment which is the atomic building block of the two-valued logic. , jay: [jayijaA -^ [0,1]]^'{0,1} where V[o,i] is a partial veristic truth assignment but V'|o,i} is a secondary absolute veristic assignment which is once again the atomic building block of the two-valued logic! ) inform only.

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