Results 311 to 320 of about 295,628 (369)

A Mathematical Setting for Fuzzy Logics

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1997
The setup of a mathematical propositional logic is given in algebraic terms, describing exactly when two choices of truth value algebras give the same logic. The propositional logic obtained when the algebra of truth values is the real numbers in the unit interval equipped with minimum, maximum and -x=1-x for conjunction, disjunction and negation ...
Mai Gehrke, Carol Walker, Elbert Walker
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Mathematics Based on Fuzzy Logic

2017
Mathematical reasoning is governed by the laws of classical logic, based on the principle of bivalence. With the acceptance of intermediate truth degrees, the situation changed substantially. This chapter begins with a characterization of mathematics based on fuzzy logic, an identification of principal issues of its development, and an outline of this ...
Radim Bělohlávek, Joseph W. Dauben, George J. Klir   +2 more
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From (Deductive) Fuzzy Logic to (Logic-Based) Fuzzy Mathematics

2009
It is indisputable that mathematical structures arising around vague/ fuzzy/ non-bivalent concepts have a broad range of applications; therefore they have been intensively investigated during the last five decades. The discipline studying these structures is, maybe unfortunately, called Fuzzy Mathematics .
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Mathematical Philosophy and Fuzzy Logic

2020
Mathematics in general is an abstraction. Of course, if it is not an easy subject, but in the same time it is rewarding one. We have to keep in mind that Mathematics is a part of our culture. In developed, developing and underdeveloped countries nobody can count himself truly good educated without Mathematical Concepts.
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Mathematical aspects of fuzzy sets and fuzzy logic

Fuzzy Sets and Systems, 2005
The paper considers some of the main trends of the development of mathematical fuzzy logic and of formalized fuzzy set theory which came out in the history of fuzzy sets, and which aim to give solid theoretical foundations for fuzzy set theory.
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Mathematical morphology, order filters and fuzzy logic

Proceedings of 1995 IEEE International Conference on Fuzzy Systems. The International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium, 2002
In this paper, we try to establish connections between three different fields, which are mathematical morphology, order filters, and fuzzy logic. It is found that strong similarities between them exist, with respect to their algebraic structure, and tools which are common in fuzzy logic appear to be particular cases of some concepts of mathematical ...
M. Grabisch, M. Schmitt
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Fuzzy description logics in the framework of mathematical fuzzy logic

2015
Fuzzy Description Logics (DLs) are a logical formalism for the representation of structured knowledge affected by imprecision or vagueness. The chapter provides insights in terms of Mathematical Fuzzy Logic.
Bobillo F, Cerami M, Esteva F, GarcíaCerdaña A, Peñaloza R, Straccia U   +5 more
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Mathematical Foundations of Fuzzy Logic

1999
Our motivation to enter into the foundations of fuzzy logic is based on five aspects. First, fuzzy logic complements parity logic in a unique way and represents currently the most versatile branch of approximate and causal reasoning, in particular with respect to fuzzy cognitive maps in almost every field of psychology.
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Mathematical fuzzy logic with many dual hedges

Symposium on Information and Communication Technology, 2014
V. Le, Fei Liu, Dinh-Khang Tran
semanticscholar   +1 more source

Mathematical Fuzzy Logic and Natural Numbers

Fundamenta Informaticae, 2007
P. Hájek
semanticscholar   +1 more source