Approximate Reasoning on a Basis of Z-Number-Valued If–Then Rules
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DOI: 10.1109/tfuzz.2016.2612303
Abstract: Approximate reasoning is about reasoning with imperfect information. Nowadays, a large diversity of approaches to approximate reasoning with fuzzy information and fuzzy type-2 information exists. It should be stressed, however, that real-world imperfect information is… read more here.
Keywords: information; basis; number valued; approximate reasoning ... See more keywords
Up and Down h-Pre-Invex Fuzzy-Number Valued Mappings and Some Certain Fuzzy Integral Inequalities
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DOI: 10.3390/axioms12010001
Abstract: The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are… read more here.
Keywords: pre invex; fuzzy number; number valued; invex fuzzy ... See more keywords
Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation
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DOI: 10.3390/axioms12040399
Abstract: In this paper, we provide different variants of the Hermite–Hadamard (H⋅H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex… read more here.
Keywords: second sense; fuzzy number; convex fuzzy; number valued ... See more keywords
Some Fuzzy Inequalities for Harmonically s-Convex Fuzzy Number Valued Functions in the Second Sense Integral
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DOI: 10.3390/sym14081639
Abstract: Many fields of mathematics rely on convexity and nonconvexity, especially when studying optimization issues, where it stands out for a variety of practical aspects. Owing to the behavior of its definition, the idea of convexity… read more here.
Keywords: fuzzy number; number valued; valued functions; convexity ... See more keywords
New Class Up and Down Pre-Invex Fuzzy Number Valued Mappings and Related Inequalities via Fuzzy Riemann Integrals
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DOI: 10.3390/sym14112322
Abstract: Numerous applications of the theory of convex and nonconvex mapping exist in the fields of applied mathematics and engineering. In this paper, we have defined a new class of nonconvex functions which is known as… read more here.
Keywords: pre invex; fuzzy number; number; number valued ... See more keywords