Journal ArticleDOI
Solving nonlinear optimization problems with fuzzy relation equation constraints
Jianjun Lu,Shu-Cherng Fang +1 more
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TLDR
An optimization model with a nonlinear objective function subject to a system of fuzzy relation equations is presented and a genetic algorithm is proposed designed to be domain specific by taking advantage of the structure of the solution set of fuzzy relationship equations.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2001-04-01. It has received 153 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Minimizing a linear function under a fuzzy max–min relational equation constraint
Yan-Kuen Wu,Sy-Ming Guu +1 more
TL;DR: This paper investigates the problem of minimizing a linear objective function subject to a fuzzy relational equation constraint and proposes three rules to simplify the work of computing an optimal solution.
Book
Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
TL;DR: In this paper, the basic notions of fuzzy matrix theory and its applications to simple fuzzy models are given, and six simple types of fuzzy models that make use of fuzzy matrices are given.
Journal ArticleDOI
Multi-objective optimization problems with fuzzy relation equation constraints
TL;DR: A genetic-based algorithm is proposed to find the "Pareto optimal solutions" of a new class of optimization problems which have multiple objective functions subject to a set of fuzzy relation equations.
Journal ArticleDOI
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Pingke Li,Shu-Cherng Fang +1 more
TL;DR: In this article, the problem of minimizing a linear objective function subject to a system of sup-T equations can be reduced into a 0 − 1 integer programming problem in polynomial time.
References
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Book
Adaptation in natural and artificial systems
TL;DR: Names of founding work in the area of Adaptation and modiication, which aims to mimic biological optimization, and some (Non-GA) branches of AI.
Book
Genetic Algorithms + Data Structures = Evolution Programs
TL;DR: GAs and Evolution Programs for Various Discrete Problems, a Hierarchy of Evolution Programs and Heuristics, and Conclusions.
Book
Fuzzy Set Theory - and Its Applications
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Journal ArticleDOI
Fuzzy Set Theory and Its Applications
TL;DR: In this paper, a new book about fuzzy set theory and its applications is presented, which can be used to explore the knowledge of the knowledge in a new way, even for only few minutes to read a book.
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Solving fuzzy relation equations with a linear objective function
Shu-Cherng Fang,Guangzhi Li +1 more