Results 1 to 10 of about 338 (215)
Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition.
Li Haitao, Shuling Wang
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New Hermite–Hadamard Inequalities in Fuzzy-Interval Fractional Calculus and Related Inequalities [PDF]
It is a familiar fact that inequalities have become a very popular method using fractional integrals, and that this method has been the driving force behind many studies in recent years. Many forms of inequality have been studied, resulting in the introduction of new trend in inequality theory.
Muhammad Bilal Khan +3 more
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Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints
This paper considers the problem of minimizing a nonlinear objective function subject to a system of bipolar fuzzy relational equations with max- T L $T_{L}$ composition, where T L $T_{L}$ is the Łukasiewicz triangular norm.
Jian Zhou +3 more
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Weakly linear systems of fuzzy relation inequalities: The heterogeneous case [PDF]
New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatović, M. Ćirić, S. Bogdanović, On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations, Fuzzy Sets and Systems 161 (2010) 3081--3113.].
Jelena Ignjatovic +3 more
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A MATLAB Toolbox for Fuzzy Relational Calculus in a Variety of Fuzzy Algebras
This paper presents a comprehensive and up-to-date description of a mature software framework for fuzzy relational calculus, developed and extended over more than a decade.
Ketty Peeva, Zlatko Zahariev
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Generalized variational inequalities with fuzzy relation
Known techniques of variational optimization are applied here to a fuzzy optimization problem. Using \(\alpha\)-levels of a fuzzy constraint, the author describes an optimal solution on the level \(\alpha.\) Next, the successive approximation procedure leads to a maximizing solution. A numerical example is calculated with the aid of Maple V (a symbolic
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Latticized linear programming and fuzzy relation inequalities
The authors solve a very interesting logical linear programming problem, using fuzzy lattices and fuzzy relations. This matter is very important for optimization problems involving ``if\(\dots\) then\(\dots\)'' situations. The paper contains a lot of practical examples providing an easy and pleasent reading.
Wang, P.Z +3 more
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Pre-Invexity and Fuzzy Fractional Integral Inequalities via Fuzzy Up and Down Relation
The symmetric function class interacts heavily with other types of functions. One of these is the pre-invex function class, which is strongly related to symmetry theory. This paper proposes a novel fuzzy fractional extension of the Hermite-Hadamard, Hermite-Hadamard-Fejér, and Pachpatte type inequalities for up and down pre-invex fuzzy-number-valued ...
Muhammad Bilal Khan +4 more
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Generalizations of related fritz Carlson type inequalities for fuzzy integrals
Summary: In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space \((X,\Sigma)\). Some examples are given to illustrate the validity of main results.
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Abstract Real unit interval valued Addition-min FRI systems are generalized to MV-algebra valued Addition-meet and Product-join fuzzy relational inequality systems, and the latter further to residual lattice valued Product-join relational inequality system.
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