Scheduling is an enduring process where the existence of real time information frequently forces the review and modification of pre-established schedules. The real world is complex and complexity generally arises from uncertainty. From this prospective the concept of fuzziness is introduced in the field of scheduling. The present paper pertains to a bi-criterion in n-jobs, three machines fl...

Most of the results on semigroups or ordered can be transferred to hypersemigroups hypersemigroups, respectively. The same, if we replace word "semigroup" by "groupoid", "hypersemigroup" "hypergroupoid". We show way pass from fuzzy hypersemigroups.

This paper presents a fuzzy extension of the simple assembly line balancing problem of type 2 (SALBP-2) with fuzzy job processing times since uncertainty, variability, and imprecision are often occurred in real-world production systems. The jobs processing times are formulated by triangular fuzzy membership functions. The total fuzzy cost function is formulated as the weighted-sum of two bi-cri...

In this paper, bi-level linear programming problem with multiple objectives at each level in intuitionistic fuzzy environment is studied and solved. In this problem, technological coefficients and resources are characterized by intuitionistic fuzzy numbers having linear membership and non-membership function. Intuitionistic fuzzy efficient solution is computed for the upper level by the propose...

Given a code from a shift space to an irreducible sofic shift, any two of the following three conditions – open, constant-to-one, (right or left) closing – imply the third. If the range is not sofic, then the same result holds when bi-closingness replaces closingness. Properties of open mappings between shift spaces are investigated in detail. In particular, we show that a closing open (or cons...

the intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by atanassov in 1983. the aim of this paper is to develop an effective methodology for solving matrix games with payoffs of atanassov’s triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concepts and ranking order relations of atanassov’s tifns are defined. a pair of bi-object...

In this paper, a quadratic programming (FFQP) problem is considered in which all of the cost coefficients, constraints coefficients, and right hand side of the constraints are characterized by L-R fuzzy numbers. Through this paper, the concept of α- level of fuzzy numbers for the objective function, and the order relations on the fuzzy numbers for the constraints are considered.  To optimize th...

Let L = {1 b1 , . . . , as bs }, where for every i ∈ [s], ai bi ∈ [0, 1) is an irreducible fraction. Let F = {A1, . . . , Am} be a family of subsets of [n]. We say F is a fractional L-intersecting family if for every distinct i, j ∈ [m], there exists an ab ∈ L such that |Ai ∩Aj | ∈ {ab |Ai|, ab |Aj |}. In this paper, we introduce and study the notion of fractional L-intersecting families.

Countries need to be aware of the stage of their current e-Commerce maturity for choosing the right strategy to move forward. For this purpose, we develop a country-level decision support framework to determine maturation stage of e-Commerce in a country. At first, e-Commerce maturity scores of local e-Markets in each regional e-Market are calculated using a fuzzy bi-level Technique for Order P...