Graded dominance and related graded properties of fuzzy connectives
نویسندگان
چکیده
منابع مشابه
Graded dominance and related graded properties of fuzzy connectives
This text is a further elaboration of the previous research report [5]. Graded properties of binary and unary connectives valued in MTL4-algebras are studied in the framework of Fuzzy Class Theory (or higher-order fuzzy logic) FCT, which serves as a tool for easy derivation of graded theorems. The properties studied include graded monotonicity, a generalized Lipschitz property, commutativity, a...
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The paper studies basic graded properties of unary and binary fuzzy connectives, i.e., unary and binary operations on the set of truth degrees of a background fuzzy logic extending the logic MTL of left-continuous t-norms. The properties studied in this paper are graded generalizations of monotony, Lipschitz continuity, null and unit elements, idempotence, commutativity, and associativity. The ...
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New definitions of graded reflexivity, symmetry, transitivity, antisymmetry, and functionality of fuzzy relations are proposed which are relative to an indistinguishability relation E on the universe of discourse. It is shown that if considered nongraded (i.e., either fully present or else fully absent), the new definitions reduce to the usual ones under full extensionality of the relation w.r....
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15 صفحه اولGraded Fuzzy Rules
In this contribution, we will recall graded fuzzy rules introduced in [6] and explain the difference from the classical fuzzy rules. Moreover, properties of formulae, which are used to formalize the graded fuzzy rules, will be analyzed.
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2015
ISSN: 0165-0114
DOI: 10.1016/j.fss.2014.04.025