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- W2000391384 abstract "The category theory based model (8th GrC Model) has been proposed as the ldquofinalrdquo GrC Model. This paper is to discuss its specialization into the category of qualitative fuzzy sets. Here are the main points: 1) Let Col be the collection of real world fuzzy sets on U, where U is a crisp set. 2) Let V be the type I fuzzy sets of col. Namely, V, denoted by MF(U), is the set of all membership functions on U. 3) The map: Q; Col rarr 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>V</sup> defines a binary neighborhood system on V. Each Q(p), p rarr Col is a qualitative fuzzy set/ It is the mathematical model of the so-called elastic membership function. 4) The collection Q = {Q(p) | p ? Col}, by abuse of notation, is the universe of qualitative fuzzy sets. 5) The ldquounionrdquo and ldquointersectionrdquo of qualitative fuzzy sets are provided by the Boolean algebraic structure of Q. 6) Each membership function in Q(p) represents a state/context of p." @default.
- W2000391384 created "2016-06-24" @default.
- W2000391384 creator A5065383216 @default.
- W2000391384 date "2009-06-01" @default.
- W2000391384 modified "2023-09-27" @default.
- W2000391384 title "Qualitative fuzzy sets: Context based reasoning system in GrC" @default.
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- W2000391384 doi "https://doi.org/10.1109/nafips.2009.5156469" @default.
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