Fuzzy Evalution of the Risk of New Energy Enterprise Based on Trapezoidal Fuzzy Numbers Similarity

The aim of this paper is to develop an effective method for solving matrix game with payoffs of trapezoidal fuzzy numbers (TrFNs). The method always assures that players’ gain-floor and loss-ceiling have a common TrFN-type fuzzy value and hereby any matrix game with payoffs of TrFNs has a TrFN-type fuzzy value. The matrix game is first converted to a fuzzy linear programming problem, which is converted to three different optimization problems, which are then solved to get the optimum value of the game. The proposed method has an edge over other method as this focuses only on matrix games with payoff element as symmetric trapezoidal fuzzy number, which might not always be the case. A numerical example is given to illustrate the method.

Download Full-text

Possibility linear programming with trapezoidal fuzzy numbers

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.09.006 ◽

2014 ◽

Vol 38 (5-6) ◽

pp. 1660-1672 ◽

Cited By ~ 26

Author(s):

Shu-Ping Wan ◽

Jiu-Ying Dong

Keyword(s):

Linear Programming ◽

Fuzzy Numbers ◽

Trapezoidal Fuzzy Numbers

Download Full-text

An improved fuzzy time series forecasting method using trapezoidal fuzzy numbers

Fuzzy Optimization and Decision Making ◽

10.1007/s10700-006-0025-9 ◽

2007 ◽

Vol 6 (1) ◽

pp. 63-80 ◽

Cited By ~ 47

Author(s):

Hao-Tien Liu

Keyword(s):

Time Series ◽

Fuzzy Numbers ◽

Time Series Forecasting ◽

Fuzzy Time Series ◽

Trapezoidal Fuzzy Numbers ◽

Forecasting Method

Download Full-text

Reliability Estimation of a Network Structure Using Generalized Trapezoidal Fuzzy Numbers

Journal of Konbin ◽

10.2478/jok-2021-0015 ◽

2021 ◽

Vol 51 (1) ◽

pp. 225-241

Author(s):

Amit Kumar ◽

Pooja Dhiman

Keyword(s):

System Reliability ◽

Fuzzy Numbers ◽

Test System ◽

Reliability Estimation ◽

Trapezoidal Fuzzy Numbers ◽

Level Of Satisfaction ◽

Degree Of Satisfaction ◽

Fuzzy Logic Method ◽

Context Specific ◽

Generalized Trapezoidal Fuzzy Numbers

Abstract Classical sets are used commonly to consider reliability. Because of the uncertainty in the data (which considered in the present paper) classical sets fail to describe the reliability accurately. Uncertainty leads to fluctuation in the actual situation of the structure. Fuzzy logic method attempts to test system reliability with the benefit of membership function. Within this context, specific problems of reasoning-based approaches are studied, explored and correlated with standard reliability approaches. In this paper Generalized Trapezoidal Fuzzy numbers (GTrFN) are used to assess the structure's fuzzy reliability. The reliability of each event is assigned with different level of satisfaction and some improved operations on the generalized trapezoidal fuzzy numbers (GTrFN) are used to calculate the fuzzy boundaries for the resultant reliability of the final event along with the degree of satisfaction. Also the results are compared to demonstrate the application of the improved operations on Generalized Trapezoidal Fuzzy Numbers (GTrFN). The obtained results converge to more precise interval values as compare to the vague fuzzy number.

Download Full-text