The classical matrix theory is deficient to express the vagueness of the real life. The fuzzy set theory has been successfully applied to bridge this gap. Much work has already been done on a two-person zero sum matrix game with fuzzy goals. In continuation, this paper is dedicated to define and study a multi-criteria two-person zero sum game with intuitionistic fuzzy goals. It is shown that so...

ABSTRACT The present paper, considered the allocation problem of repairable components for a parallel-series system as a multi-objective optimization problem for two different models. In the first model, the reliability of subsystems are considered as different objectives. While in the second model, the cost and time spent on repairing the components are considered as two different objectives. ...

Fuzzy linear programming with trapezoidal fuzzy numbers (TrFNs) is considered and a new method is developed to solve it. In this method, TrFNs are used to capture imprecise or uncertain information for the imprecise objective coefficients and/or the imprecise technological coefficients and/or available resources. The auxiliary multi-objective programming is constructed to solve the correspondin...

Employing maintenance threshold plays a critical step in determining an optimal policy for offshore wind system to reduce costs while increasing reliability. Considering the limited works on this topic, we propose two-stage procedure determine thresholds multiple components of power order minimize achieving highest possible First, using genetic algorithms, dynamic strategy is developed individu...

recently, the economic crisis has resulted in instability in stock exchange market and this has caused high volatilities in stock value of exchanged firms. under these conditions, considering uncertainty for a favorite investment is more serious than before. multi-objective portfolio selection (return, liquidity, risk and initial cost of investment objectives) using minmax fuzzy goal programmin...

We present an algorithm to solve a bi-level multi-objective fractional integer programming problem involving fuzzy numbers in the right-hand side of the constraints. The suggested algorithm combine the method of Taylor series together with the Kuhn Tucker conditions to solve fuzzy bi-level multi-objective fractional integer programming problem (FBLMOFIPP) then Gomory cuts are added till the int...

Reliability analysis is one of the important constituent parts of elevator safety evaluation. In order to obtain the exact value of fault probability of components in elevator system, by combining fuzzy theory with Bayesian network approach, we proposed a reliability analysis method of multi-state system based on fuzzy Bayesian networks. By expanding the traditional two-state Bayesian network t...

This paper proposes an integrated methodology and its solution for supplier selection problem. A twostage stochastic programming model and fuzzy TOPSIS methods are consolidated in this methodology. After pre-research phase, in the second part of the methodology, fuzzy TOPSIS is used for ranking potential suppliers considering qualitative data under fuzzy environment. In the third part of the me...