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

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Chapter 13

VERISTIC FUZZY SETS OF TRUTHOODS*

It should be recalled that starting with the discussion of Philosophical Grounding and through out the text, we have identified two distinct treatments in fuzzy set theory: (i) Descriptive fuzzy sets and (ii) Veristic fuzzy sets, i.e., fuzzy sets of truthoods.

Most of the previous chapters have dealt with essentially Descriptive fuzzy sets and the formation of Interval-Valued Type 2 fuzzy sets generated by the combination of two Type 1 fuzzy sets.

In this chapter, we treat the Veristic Fuzzy sets of Truthoods. Both the “Fuzzy Truth Table” and T-formalism (a modified and restricted multi-valued mapping of Dempster) derivations are applicable for this purpose. Thus we obtain FDCF(.) and FCCF(.) expressions ...

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