In this paper, the minimum spanning tree problem is investigated on the graph with fuzzy edge weights. The notion of fuzzy α-minimum spanning tree is presented based on the credibility measure, and then the solutions of the fuzzy α-minimum spanning tree problem are discussed under different assumptions. First, we respectively assume that all the edge weights are triangular fuzzy numbers and tra...

Abstract Classical sets are used commonly to consider reliability. Because of the uncertainty in data (which considered present paper) classical fail describe reliability accurately. Uncertainty leads fluctuation actual situation structure. Fuzzy logic method attempts test system with benefit membership function. Within this context, specific problems reasoning-based approaches studied, explore...

This paper explores the study of Multi-Objective Multi-item Solid Transportation Problem (MMSTP) under fuzzy environment. Realizing impact real-life situations, here we consider MMSTP with parameters, e.g. , transportation cost, supply, and demand, treat as trapezoidal numbers. Trapezoidal numbers are then converted into nearly approximation interval by using (P. Grzegorzewski, Fuzzy Sets Syst....

The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria ...

A fuzzy inventory model with price dependent demand is considered. The shortages are allowed . The objective is to determine the optimal total cost and the optimal time length of the plan for the proposed model. The trapezoidal fuzzy numbers are introduced to achieve this objective. The signed distance method is used for defuzzification process. To illustrate the results of this model, sensitiv...

The decision data of human judgments with preferences are often vague in many real life cases. Human judgments with preferences are often unclear and hard to estimate by exact numerical values. So that the traditional ways of using crisp values are inadequate. The relationship among criteria and choosing and rating alternatives based on criterion are often expressed in terms of linguistic terms...

There are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal fuzzy numbers. The first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. T...

fuzzy newton-cotes method for integration of fuzzy functions that was proposed by ahmady in [1]. in this paper we construct error estimate of fuzzy newton-cotes method such as fuzzy trapezoidal rule and fuzzy simpson rule by using taylor's series. the corresponding error terms are proven by two theorems. we prove that the fuzzy trapezoidal rule is accurate for fuzzy polynomial of degree one and...

This paper deals with the transportation problem by considering the when the passenger capacity of an aircraft as a fuzzy parameter to minimize the operating cost. The passenger capacity of an aircraft is assumed to be fuzzy numbers with trapezoidal membership function. By the graded mean integration representation method, the model will be derived in the fuzzy sense in order to obtain the opti...