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Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions

Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions

Pratiksha Saxena, Ravi Jain
Copyright: © 2020 |Volume: 9 |Issue: 3 |Pages: 21
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522598435|DOI: 10.4018/IJFSA.2020070101
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MLA

Saxena, Pratiksha, and Ravi Jain. "Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions." IJFSA vol.9, no.3 2020: pp.1-21. http://doi.org/10.4018/IJFSA.2020070101

APA

Saxena, P. & Jain, R. (2020). Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions. International Journal of Fuzzy System Applications (IJFSA), 9(3), 1-21. http://doi.org/10.4018/IJFSA.2020070101

Chicago

Saxena, Pratiksha, and Ravi Jain. "Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions," International Journal of Fuzzy System Applications (IJFSA) 9, no.3: 1-21. http://doi.org/10.4018/IJFSA.2020070101

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Abstract

A linear fractional programming problem and its dual problem is presented under fuzzy environment. Appropriate fuzzy version of duality results are established using an aspiration level approach. This study uses the hyperbolic membership functions to represent fulfillment of the decision maker's degree of satisfaction in contrast to available literature which relied on linear membership functions/exponential membership functions.

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