Fuzzy data analysis by possibilistic linear models
Fuzzy Sets and Systems - Fuzzy Numbers
Possibilistic linear programming with triangular fuzzy numbers
Fuzzy Sets and Systems
Solving possibilistic linear programming
Fuzzy Sets and Systems
Ranking fuzzy numbers with index of optimism
Fuzzy Sets and Systems
Fuzzy and semi-infinite mathematical programming
Information Sciences: an International Journal
Optimality for fuzzified mathematical programming problems: a parametric approach
Fuzzy Sets and Systems
An extension to possibilistic linear programming
Fuzzy Sets and Systems
On the fuzzy multi-objective linear programming problem: goal programming approach
Fuzzy Sets and Systems
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
On fuzzy number lattice (&Rtilde; ≤)
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Linear programming with fuzzy variables
Fuzzy Sets and Systems
Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming
Fuzzy Sets and Systems
Using ranking functions in multiobjective fuzzy linear programming
Fuzzy Sets and Systems - Fuzzy mathematical programming
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Neural Intelligent Systems: Mathematical Foundation and the Applications in Engineering
Fuzzy Neural Intelligent Systems: Mathematical Foundation and the Applications in Engineering
Topological properties of fuzzy numbers
Fuzzy Sets and Systems
Research on the convergence of fuzzy genetic algorithm based on rough classification
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
A method for ranking fuzzy numbers and its application to decision-making
IEEE Transactions on Fuzzy Systems
A synthesizing effect function approach of fuzzy multiple-attribute decision making
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 3
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Fuzzy optimization is a well-known optimization problem in artificial intelligence, manufacturing and management, so establishing general and operable fuzzy optimization methods are important in both theory and application. In this paper, by distinguishing principal indices and secondary indices, we give a method for comparing fuzzy information based on synthesizing effect and an operation for achieving fuzzy optimization based on a principal indices transformation. Further, we propose an axiomatic system for fuzzy inequity degree based on the essence of constraint, and give an instructive metric method for fuzzy inequity degree. Then, by combining with genetic algorithm, we give some fuzzy optimization methods based on principal operation and inequity degree (denoted by BPO&ID-FGA, for short). Finally, we consider the convergence of our algorithm using the theory of Markov chains and analyze its performance through two concrete examples. All these indicate that BPO&ID-FGA can effectively merge decision preferences into the optimization process and that it also possesses better global convergence, so it can be applied to many fuzzy optimization problems.