Solving bi-level programming problem with fuzzy random variable coefficients

2017 ◽  
Vol 32 (1) ◽  
pp. 521-528 ◽  
Author(s):  
Vishnu Pratap Singh ◽  
Debjani Chakraborty
Keyword(s):  
Programming Problem ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Variable Coefficients ◽  
Fuzzy Random

Multiobjective Programming Problems Involving Fuzzy Coefficients, Random Variable Coefficients and Fuzzy Random Variable Coefficients

2015 ◽  
Vol 23 (04) ◽  
pp. 483-504 ◽  
Author(s):  
Hitoshi Yano
Keyword(s):  
Multiobjective Programming ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Variable Coefficients ◽  
Pareto Optimal ◽  
Possibility Measure ◽  
Generalized Pareto ◽  
Interactive Algorithm ◽  
Fuzzy Goal ◽  
Fuzzy Random

In this paper, we propose an interactive method for multiobjective linear programming problems, in which fuzzy coefficients, random variable coefficients and fuzzy random variable coefficients are involved in the objective functions respectively. In the proposed method, it is assumed that the decision maker has a fuzzy goal for each objective function, and such a fuzzy goal can be quantified by eliciting the membership function. Through a possibility measure and a fractile optimization model, the original problem is transformed to the well-defined multiobjective programming problem. Then, a generalized Pareto optimal concept is defined, and an interactive algorithm is proposed to obtain a satisfactory solution from among a generalized Pareto optimal solution set.

Bi-Level Programming for Earning Management in Imprecise and Random Environments

2021 ◽  
pp. 104-124
Author(s):  
Vishnu Pratap Singh
Keyword(s):  
Mathematical Models ◽  
Programming Problem ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Earning Management ◽  
Random Environments ◽  
Next Generation ◽  
Two Stage ◽  
Global Competitiveness ◽  
Fuzzy Random

Organizations striving in today's environment of active technological and business transformations are confronted with the difficulties of “twofoldness,” that is, performing efficiently in the present while innovating effectively for the future. Administrators inside these organizations not only have to concentrate on the business benefit and profitability of each of their authorized commodities and services but must also guarantee their ability to introduce into next-generation contributions that output properties that will maintain and even enhance their renewed global competitiveness. The surprisingly fast breakdown of so many probably great companies over the last decade gives an extensive declaration to the consequence of accomplishing this dualism. In this chapter, to deal with this dualism, the authors consider a fuzzy stochastic bi-level programming problem in the mathematical models. The fuzziness and randomness concept has been taken care of by the fuzzy random variable as the parameter of the bi-level programming problem. A two-stage approach has been defined to solve the problem.

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