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....

In this paper, an x n fully fuzzy linear system à ⊗ x = b where à is a fuzzy matrixx and b are fuzzy vectors with trapezoidal fuzzy numbers is solved by singular value decomposition method. The method is illustrated with numerical examples.

In this paper the method of determining the value of the game in fuzzy environment, using trapezoidal fuzzy numbers is proposed. A new approach called fuzzy Nash equilibrium which provides a way for obtaining the optimum strategies for mxn fuzzy payoff matrix is employed. Relevant definitions and numerical examples are also given.

This paper proposes a new method to solve fuzzy critical path problems for a project network with activity times being normalised trapezoidal fuzzy numbers. is solved successfully to demonstrate the validity of the proposed approach.

In the real word, there are many problems which have linear programming models and sometimes it is necessary to formulate these models with parameters of uncertainty. Many numbers from these problems are linear programming problems with fuzzy variables. Some authors considered these problems and have developed various methods for solving these problems. Recently, Mahdavi-Amiri and Nasseri (2007...

In uncertainty decision making, experts can use interval-fuzzy number, triangular fuzzy number, trapezoidal fuzzy number, linguistic 2tuple or linguistic indices to express their preferences. Using kernel function, the fuzzy numbers can be converted into fuzzy number range from 0 to 1. Thus, different fuzzy judgment matrix can be expressed in a unified style. A judging method for ordinal consis...

Abstract: In conventional reliability analysis, the failure probabilities of the components of a system are treated as exact values. It is often difficult to obtain data for failure probabilities under changing environmental conditions. Hence fuzzy sets are used to analyze the fuzzy system reliability, where a fuzzy number represents the reliability of each component. Chen [14] analyzed the fuz...

In this study, we propose an approach to determine the shortest path length between a pair of specified nodes s and t on a network whose edge weights are represented by trapezoidal neutrosophic numbers. Finally, an illustrative example is provided to show the applicability and effectiveness of the proposed approach. Keywords—trapezoidal fuzzy neutrosophic sets; score function; Shortest path pro...

This article provides an effective method to analyze the performance measures of non-preemptive fuzzy priority queues with unequal service rates. Here arrival rate and are in numbers. Using a new ranking method, values reduced crisp values. For that cause, both Triangular Fuzzy Number (TFN) Trapezoidal (TpFN) chosen establish proposal's effectiveness. An illustration is given find efficiency qu...