On optimization with fuzzy constraint conditions

Jun Liu; Da Ruan; Zhenming Songz; Yang Xu

doi:10.1007/978-3-7908-1841-3_12

On optimization with fuzzy constraint conditions

Jun Liu, Da Ruan, Zhenming Songz, Yang Xu

Research output › peer-review

Abstract

In general, it is a difficult problem to solve an optimal criterion set with fuzzy constraint conditions. In this paper, the difficult problem is changed into a simple problem to solve a conditional extreme value problem in mathematics. Thus it becomes rather simpler to solve the problems for fuzzy linear programming and fuzzy nonlinear programming. The paper provides with detailed case studies on optimization with single fuzzy constraint condition as well as on optimization with multi-fuzzy constraint conditions and multi-ob-jective functions. Finally, this paper presents related theories on determination of the optimal criterion set.

Original language	English
Title of host publication	Advances in Soft Computing
Publisher	Springer Link
Pages	166-173
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-7908-1841-3_12
State	Published - 2000

Publication series

Name	Advances in Soft Computing
Volume	6
ISSN (Print)	1615-3871
ISSN (Electronic)	1860-0794

ASJC Scopus subject areas

Computer Science (miscellaneous)
Computational Mechanics
Computer Science Applications

Access to Document

10.1007/978-3-7908-1841-3_12

Cite this

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abstract = "In general, it is a difficult problem to solve an optimal criterion set with fuzzy constraint conditions. In this paper, the difficult problem is changed into a simple problem to solve a conditional extreme value problem in mathematics. Thus it becomes rather simpler to solve the problems for fuzzy linear programming and fuzzy nonlinear programming. The paper provides with detailed case studies on optimization with single fuzzy constraint condition as well as on optimization with multi-fuzzy constraint conditions and multi-ob-jective functions. Finally, this paper presents related theories on determination of the optimal criterion set.",

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