Abstract In this study, we use the fuzzy order relation to show some novel variants of Hermite–Hadamard inequalities for pre-invex fuzzy-interval-valued mappings ( F-I∙V-Ms ), which term fuzzy-interval and Hermite–Hadamard–Fejér inequalities. This is defined as level space by Kulisch–Miranker relation. There are also new exceptional instances mentioned. The theory proposed in research shown wit...

In this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-Lukasiewicz operator. In fact Lukasiewicz t-norm is one of the four basic t-norms. A new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on ...

This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (????????-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker relation, which is based on interval space, used define this relation defined level-wise. By utilizing idea, several novel ????????- and ????????-Fejér-type are established in the environment via FNVMs. Additional ????????-t...

Abstract In this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under concept, present versions Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval type for functions ( FIVF) by means fuzzy order relation. This relation is defined level wise thro...

It is a familiar fact that inequalities have become very popular method using fractional integrals, and this has been the driving force behind many studies in recent years. Many forms of inequality studied, resulting introduction new trend theory. The aim paper to use fuzzy order relation introduce various types inequalities. On interval space, defined level by level. With help relation, firstl...

Abstract In the preset study, we introduce new class of convex fuzzy-interval-valued functions which is called log- h -convex (log- FIVFs) by means fuzzy order relation. We have also investigated some properties FIVFs. Using this class, present Jensen and Hermite–Hadamard inequalities (HH-inequalities). Moreover, useful examples are presented to verify HH-inequalities for Several known special ...

In this paper we study subsystems, reverse subsystems and double subsystems of a fuzzy transition system. We characterize them in terms of fuzzy relation inequalities and equations, as eigen fuzzy sets of the fuzzy quasi-order Qδ and the fuzzy equivalence Eδ generated by fuzzy transition relations, and as linear combinations of aftersets and foresets of Qδ and equivalence classes of Eδ. We also...

minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. also related inequalities to minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. several examples are given to illustrate the validity of theorems. some results on chebyshev and minkowski type inequalities are obtained.

in this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. we study this problem and capture some special characteristics of its feasible domain and optimal s...

Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.