The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers

Nanxiang Yu; Dong Qiu

doi:10.1155/2017/1242841

Complexity (Jan 2017)

The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers

Nanxiang Yu,
Dong Qiu

Affiliations

Nanxiang Yu: College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, China
Dong Qiu: College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, China

DOI: https://doi.org/10.1155/2017/1242841
Journal volume & issue: Vol. 2017

Abstract

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We propose the solution concepts for the fuzzy optimization problems in the quotient space of fuzzy numbers. The Karush-Kuhn-Tucker (KKT) optimality conditions are elicited naturally by introducing the Lagrange function multipliers. The effectiveness is illustrated by examples.

Published in Complexity

ISSN: 1076-2787 (Print); 1099-0526 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: https://onlinelibrary.wiley.com/journal/8503

About the journal