By I. Burhan Türksen
Fuzzy set and common sense idea recommend that each one typical language linguistic expressions are obscure and has to be assessed as an issue of measure. yet commonly club measure is an vague concept which calls for that sort 2 club levels be thought of in such a lot functions on the topic of human choice making schemas. no matter if the club features are limited to be Type1, their combos generate an period - valued kind 2 club. this is often a part of the final outcome that Classical equivalences breakdown in Fuzzy thought. therefore all classical formulation needs to be reassessed with an higher and decrease expression which are generated through the breakdown of classical formulation.
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Additional info for An Ontological and Epistemological Perspective of Fuzzy Set Theory
Example text
1997). , of a human face with fuzzy boundaries. Edges, which are distinct, can be described with fuzzy membership functions. This is the basis for Type 1 fuzzy theory. , fuzzy theories. That is "crisp" edges can be represented with Type 1 membership functions, where as "fuzzy" edges can be represented with Type 2 or higher levels of fuzziness. , imprecision of imprecise membership functions and contain uncertainty associated with membership values for varying shades of meaning in words. , even in a given context such as human decision processes and descriptions of natural phenomena.
Meaning representation" is further discussed with "Test-Score Semantic", "Composition of Elastic Constraints", together with "Rules pertaining to modification... composition... the main contribution of fuzzy logic is a methodology for computing with words. No other methodology serves this purpose". He goes on to state "in its traditional sense, computing involves ... manipulation of numbers and symbols. By contrast, humans employ mostly words in computing and reasoning, arriving at conclusions expressed as words from premises expressed in a natural language or having the form of mental perception".
This is a far more defensible position than the previous one. Still in a less disagreeable argument, fuzziness is still adopted; but it would be limited only to the Domain-Specific Epistemological Level 5. Such an argument might take the form of an assertion that within the specific field of, for instance, the consumer behavior in financial domains, one can never be entirely objective about the truth, or validity of what is argued for in that domain. This might be seen as merely an acknowledgement of the uncertainty bounds of what one can definitely know from a certain situation or perspective.