By I. Burhan Türksen
Fuzzy set and common sense idea recommend that each one normal language linguistic expressions are vague and needs to be assessed as an issue of measure. yet as a rule club measure is an obscure idea which calls for that style 2 club levels be thought of in such a lot functions regarding human determination making schemas. no matter if the club capabilities are constrained to be Type1, their combos generate an period - valued sort 2 club. this is often a part of the overall outcome that Classical equivalences breakdown in Fuzzy conception. therefore all classical formulation has to be reassessed with an higher and reduce expression which are generated by means of the breakdown of classical formulation.
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Additional info for An Ontological and Epistemological Perspective of Fuzzy Set Theory
However, I believe, his main thesis has been that, in humanistic systems, human reasoning and decision making is not just "measurement" based, although it is an important component, but it is rather linguistic and perception based. " (1985), "Computing with Words" (1996-2001), suggested novel approaches to complex humanistic systems for their potential analysis and solutions in humanistic terms in manners akin to "Human-like Reasoning". In order to understand the deeper meanings of Fuzzy Theory, let us delve very briefly into the etymological origins of the word fuzzy.
CWW and CWP. It is suggested that by proceeding in a step-wise manner up the levels of the proposed hierarchy one might be able to develop a fuzzy theory that is particularly strong in terms of its clarity and explicitness about the assumptions we make in our work. The philosophical directness and openness of such an approach might also provide a fuzzy theory developed in this manner with a high degree of internal consistency and coherence for CWW and CWP. In this regard, in Chapter 17, we propose the start of a new discussion on the axiomatic foundations of fuzzy theory within the context of CWW and CWP.
The ineffectiveness of computers in dealing with humanistic systems is a manifestation of what might be called the principle of incompatibility - a principle which asserts that high precision is incompatible with high complexity. ", term sets are specified for Age, Appearance, Truth, and Probability, etc. As well we find the notions of interaction and non-interaction of fuzzy sets, linguistic variables and their linguistic terms, the extension principle, type n, n = 2, 3,... fuzzy sets, linguistic truth variables and fuzzy logic.
An Ontological and Epistemological Perspective of Fuzzy Set Theory by I. Burhan Türksen