An improvement for fuzzy stochastic goal programming problems
type: Item
instance of: scholarly article
title: An improvement for fuzzy stochastic goal programming problems
zbMATH Open document ID: 1426.90229
DOI: 10.1155/2017/8605652
author: Shu-Cheng Lin
author: Han-Wen Tuan
author: Peterson C. Julian
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: We examined the solution process for linear programming problems under a fuzzy and random environment to transform fuzzy stochastic goal programming problems into standard linear programming problems. A previous paper that revised the solution process with the lower-side attainment index motivated our work. In this paper, we worked on a revision for both-side attainment index to amend its definition and theorems. Two previous examples were used to examine and demonstrate our improvement over previous results. Our findings not only improve the previous paper with both-side attainment index, but also provide a theoretical extension from lower-side attainment index to the both-side attainment index.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6972596
Wikidata QID: Q59147843
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8605652
OpenAlex ID: W2738578647
cites work: Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem
cites work: Ranking and defuzzification methods based on area compensation
cites work: Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set
cites work: Fuzzy linear programming using a penalty method.
cites work: DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS
cites work: Fuzziness and randomness in an optimization framework
cites work: Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients
cites work: Multi-objective decision making model under fuzzy random environment and its application to inventory problems
cites work: Fuzzy stochastic goal programming problems
cites work: Solving linear programming problems under fuzziness and randomness environment using attainment values
cites work: A note on ``solving linear programming problems under fuzziness and randomness environment using attainment values''
description: scientific article; zbMATH DE number 6972596