Duality for a nonlinear fractional programming under fuzzy environment with parabolic concave membership functions

Saxena, Pratiksha; Jain, Ravi

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 1 (January 2017), Pages: 131-136

Title: Duality for a nonlinear fractional programming under fuzzy environment with parabolic concave membership functions

Author(s): Pratiksha Saxena ^1, *, Ravi Jain²

Affiliation(s):

¹Department of Applied Mathematics, Gautam Buddha University, Greater Noida- 201308, U.P., India
²Department of Mathematics, Maharaja Agrasen Institute of Management Studies, Rohini, Delhi- 110086, India

https://doi.org/10.21833/ijaas.2017.01.019

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Abstract:

A particular type of convex fractional programming problem and its dual is studied under fuzzy environment with parabolic concave membership functions. Appropriate duality results are established using aspiration level approach. The use of parabolic concave membership functions to represent the degree of satisfaction of the decision maker makes it unique from the other studies.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Fuzzy set theory, Nonlinear fractional programming, Parabolic concave membership, Duality theory

Article History: Received 15 November 2016, Received in revised form 10 January 2017, Accepted 21 January 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.01.019

Citation:

Saxena P and Jain R (2017). Duality for a nonlinear fractional programming under fuzzy environment with parabolic concave membership functions. International Journal of Advanced and Applied Sciences, 4(1): 131-136

http://www.science-gate.com/IJAAS/V4I1/Saxena.html

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