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

By I. Burhan Türksen

Fuzzy set and good judgment idea recommend that every one typical language linguistic expressions are vague and has to be assessed as a question of measure. yet normally club measure is an obscure idea which calls for that kind 2 club levels be thought of in such a lot functions regarding human determination making schemas. whether the club features are limited to be Type1, their mixtures generate an period - valued sort 2 club. this is often a part of the final outcome that Classical equivalences breakdown in Fuzzy conception. hence all classical formulation needs to be reassessed with an higher and decrease expression which are generated by way of the breakdown of classical formulation.

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Extra info for An Ontological and Epistemological Perspective of Fuzzy Set Theory

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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. ) for certain classes of t-norms and t-conorms that are strict and nilpotent Archimedean.

The error is usually accepted to be a true, V{o,i}, verification based on a statistical risk which is to be a crisply evaluated assessment dependent on a crisp test of hypothesis. On the Domain-Specific Epistemological level, the classical system development models that stand on observations which are measurement based data stored in data warehouses for a specific field of inquiry. Measurement data that is suppose to capture the system behavior and its associated concepts that are represented with linguistic variables and linguistic terms are expressed in two-valued descriptive set theory D{o,i}.

In this paper, we are also introduced to the notion of "Computation of the Meaning of Values of a Linguistic Variables". " is a landmark paper. It is on the bases of this paper, Mamdani and Assilian (1975) developed first practical laboratory version of an applied fuzzy system model and its use in industrial fuzzy control. This gave rise to the wide spread "fuzzy control" application in electro-mechanical systems. In "A Fuzzy-Algorithmic Approach to the Definition of Complex or Imprecise Concepts" (1976), we read "The high standards of precision which prevail in mathematics, physics, chemistry, engineering and other 'hard' sciences stand in sharp contrast to the imprecision which pervades much of sociology, psychology, political science, history, philosophy, linguistics, anthropology, literature, art and related fields".

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