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A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique

A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique

Moumita Deb
Copyright: © 2018 |Pages: 43
ISBN13: 9781522550914|ISBN10: 1522550917|EISBN13: 9781522550921
DOI: 10.4018/978-1-5225-5091-4.ch004
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MLA

Deb, Moumita. "A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique." Optimization Techniques for Problem Solving in Uncertainty, edited by Surafel Luleseged Tilahun and Jean Medard T. Ngnotchouye, IGI Global, 2018, pp. 73-115. https://doi.org/10.4018/978-1-5225-5091-4.ch004

APA

Deb, M. (2018). A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique. In S. Tilahun & J. Ngnotchouye (Eds.), Optimization Techniques for Problem Solving in Uncertainty (pp. 73-115). IGI Global. https://doi.org/10.4018/978-1-5225-5091-4.ch004

Chicago

Deb, Moumita. "A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique." In Optimization Techniques for Problem Solving in Uncertainty, edited by Surafel Luleseged Tilahun and Jean Medard T. Ngnotchouye, 73-115. Hershey, PA: IGI Global, 2018. https://doi.org/10.4018/978-1-5225-5091-4.ch004

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Abstract

The aim of this chapter is to study fully fuzzy linear fractional programming (FFLFP) problems where all coefficients of the decision variables and parameters are characterized by triangular fuzzy numbers. To deal with this, the authors have first to transform FFLFP problems to fuzzy linear programming (FLP) problems by using Charnes and Cooper method and then use signed distance ranking to convert fuzzy linear programming (FLP) problems to crisp linear programming (LP) problems. The proposed method is solved by using the simplex method to find the optimal solution of the problem. The authors have studied sensitivity analysis to determine changes in the optimal solution of the fully fuzzy linear fractional programming (FFLFP) problems resulting from changes in the parameters. To demonstrate the proposed method, one numerical example is solved.

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