In this paper, we present a new method to handle fuzzy multiple attributes group decision-making problems. First, we construct fuzzy importance matrices for decision-makers with respect to attributes and construct fuzzy evaluating matrices for decision-makers with respect to attributes of the alternatives. Then, based on the fuzzy importance matrices and the fuzzy evaluating matrices, we can ge...

Based on the model of symmetric and asymmetric duopoly option game, this paper discusses the present value of profit flows and the sunk investment costs for the trapezoidal fuzzy number. It constructs the fuzzy expressions of the investment value and investment threshold of followers and leaders under fuzzy environment and conducts numerical analysis. This offers a kind of explanation to the in...

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desira...

In this paper, a new concept called Trident Fuzzy Aggregation Operators in which the operation is made by grouping of numerous Trapezoidal Numbers (TTriFN) to become solitary trapezoidal trident fuzzy numeral for parallel computing application introduced. This proposed operator architecture applicable development networking and ranking concepts. Also, geometric mean over ‘n’ TTriFN on left-side...

The main aim of this paper is to deal with a fuzzy version of Farkas lemma involving trapezoidal fuzzy numbers. In turns to that the fuzzy linear programming and duality theory on these problems can be used to provide a constructive proof for Farkas lemma. Keywords Farkas Lemma, Fuzzy Linear Programming, Duality, Ranking Functions.

Recently, fuzzy linear programming problems have been considered by many. In the literature of fuzzy linear programming several models are offered and therefore some various methods have been suggested to solve these problems. One of the most important of these problems that recently has been considered; are Fully Fuzzy Linear Programming (FFLP), which all coefficients and variables of the prob...

In this paper, the problem of low probability of identification (LPID) improvement for radar network systems is investigated. Firstly, the security information is derived to evaluate the LPID performance for radar network. Then, without any prior knowledge of hostile intercept receiver, a novel fuzzy chance-constrained programming (FCCP) based security information optimization scheme is present...

This paper presents a new method for fuzzy system reliability analysis based on fuzzy semi-markov model with fuzzy transitions. The definition and the basic equation for interval transitions of a semi-markov model with fuzzy transitions are provided. The transitions for the above model with fuzzy states is provided for the non-homogeneous case. We apply this fuzzy technique to ATM transactions ...

At the first, we revise the Kosinski’s definition of the sum of ordered fuzzy numbers. The associativity of revised sum is investigated here. In addition, we show that the multiple revised sum of finite sequence of trapezoidal ordered fuzzy numbers depends on its summands ordering. .AMS Classification: 03E72

In this paper, considers the usage of intuitionistic fuzzy numbers in decision making. The values and ambiguities of the membership degree and the non-membership degree for trapezoidal intuitionistic fuzzy number are defined as well as the value-index and ambiguity-index. The proposed ranking method is easily implemented and has a natural interpretation. 2010 AMS Classification: 47S20, 03E72