The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...

In this paper, we develop a new approach to deal with neutrosphic shortest path problem in a network in which each edge weight (or length) is represented as triangular fuzzy neutrosophic number. The proposed algorithm also gives the shortest path length from source node to destination node using ranking function. Finally, an illustrative example is also included to demonstrate our proposed appr...

This paper investigates the vibration of a bar for computing its frequency parameter with interval and fuzzy material properties using fuzzy finite element method. First crisp values of material properties are considered. Then the problem has been undertaken taking the properties as interval and fuzzy. Initially, Young’s modulus and density as material properties have been considered as interva...

In this paper, deriving the fuzzy weights of criteria from the fuzzy pair-wise comparison matrix with triangular fuzzy elements is investigated. In the proposed method we first use the ranking function to convert the triangular fuzzy data into crisp one. Then by using the goal programming method we derive the fuzzy weights of criteria. We propose two new methods, and it is shown that these meth...

This paper presents solution technique of geometric programming with fuzzy parameters to solve structural model. Here we are considered all fuzzy parameters as a generalized fuzzy number i.e. generalized triangular fuzzy number and generalized trapezoidal fuzzy number. Here material density of the bar, permissible stress of each bar and applied load are fuzzy numbers. We use geometric programmi...

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

The concept of duality plays an important role in optimization theory .In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming problems using breaking point and duality theory. By using the proposed method the fuzzy optimal solution of fully fuzzy linear programming problem with inequality constraints has been obtained. To illustrate the prop...

Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring manufacturing system under particular situations. On other hand, fuzzy set theory an ideal instrument cope with unclear situation. The existing studies are restricted, and there still mystery behind data. This paper deals technique: namely, control chart based on process capability indice...

With respect to multiple attribute decision making problem with triangular fuzzy linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the preference values take the form of triangular fuzzy linguistic variables, a operator for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic weighted harmonic mean (FLWHM) ope...