Fuzzy goal programming - A parametric approach

Authors:
Gang Li
Affiliations:
School of Mathematics and Physical Sciences, Shandong Institute of Light Industry, Ji'nan, Shandong 250100, PR China
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

Narasimhan incorporated fuzzy set theory within goal formulation in 1980. Since then, much research has been performed in this field, and various models for solving fuzzy goal programming have been proposed. One of the well-known models was proposed by Tiwari et al. in 1987 [19], where an additive model was proposed. This paper is an extension to the Tiwari et al. model that deals with the sum of weighted negative deviations between the desirable achievement degree and the common target. Here, properties of the model are proposed. A numerical example is also given to illustrate the approach.