Linear optimization with fuzzy variable over fuzzy polytope

Article type: Research Article

Authors: Budnitzki, Alina^*

Affiliations: TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, Germany

Correspondence: [*] Correspondence to: Alina Budnitzki, TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, 09596 Freiberg, Germany. Tel.: 03731/39 3189; alina.budnitzki@math.tu-freiberg.de

Abstract: In the present paper a fuzzy optimization problem with fuzzy variable and fuzzy constraints is under discussion. The purpose of the paper consists in finding a fuzzy optimal solution for this problem for the linear case. A sensible attempt to solve a fuzzy optimization problem through reformulation to a crisp optimization problem using level-cuts of the fuzzy polytope is considered.

Keywords: Fuzzy optimization, fuzzy polytope, fuzzy goal programming, fuzzy optimal solution

DOI: 10.3233/IFS-141225

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 499-507, 2015