Bector-Chandra type linear programming duality under fuzzy environment with parabolic concave membership functions

Author

Saxena, Pratiksha ; Jain, R.

Author_Institution

Dept. of Appl. Math., Gautam Buddha Univ., Noida, India

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

1

Lastpage

6

Abstract

This paper presents the study of a pair of primal-dual fuzzy linear programming and establishes duality results. It is based on parabolic concave membership functions. Choice of parabolic concave membership functions makes it unique and leads to the nonlinear programming. Duality results have been established using the aspiration level approach. A numerical example is also taken to demonstrate the approach and verification of results.

Keywords

concave programming; fuzzy set theory; linear programming; nonlinear programming; Bector-Chandra type linear programming duality; aspiration level approach; fuzzy environment; nonlinear programming; parabolic concave membership functions; primal-dual fuzzy linear programming; Educational institutions; Games; Industries; Linear programming; Programming; Standards; Fuzzy linear programming; membership function; parabolic concave function; primal and dual problems;

fLanguage

English

Publisher

ieee

Conference_Titel

Reliability, Infocom Technologies and Optimization (ICRITO) (Trends and Future Directions), 2014 3rd International Conference on

Conference_Location

Noida

Print_ISBN

978-1-4799-6895-4

Type

conf

DOI

10.1109/ICRITO.2014.7014726

Filename

7014726