Topic
Fuzzy associative matrix
About: Fuzzy associative matrix is a research topic. Over the lifetime, 8027 publications have been published within this topic receiving 194790 citations.
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TL;DR: This paper uses linear difference inclusion (LDI) state-space representation to represent the fuzzy model, and the linear matrix inequality (LMI) optimization algorithm is employed to find common solution and then guarantee the asymptotic stability.
Abstract: This paper extends the Takagi-Sugeno (T-S) fuzzy model representation to analyze the stability of interconnected systems in which there exist time delays in subsystems. A novel stability criterion which can be solved numerically is presented in terms of Lyapunov's theory for fuzzy interconnected models. In this paper, we use linear difference inclusion (LDI) state-space representation to represent the fuzzy model. Then, the linear matrix inequality (LMI) optimization algorithm is employed to find common solution and then guarantee the asymptotic stability.
74 citations
TL;DR: It is stated in the paper that this issue can be treated effectively by means of learning premises with general structure to search for a set of optimal rule premises yielding not only good control performance but also little or no inconsistency in the fuzzy knowledge base.
74 citations
TL;DR: The problem of fuzzy optimal control of nonlinear systems is formulated and solved on the basis of fuzzy mathematical programming and the case of multicriteria optimal control with fuzzy objective function and crisp transversality conditions is considered.
74 citations
TL;DR: This result is used to extend Leontief's closed input-output analysis to fuzzy economies and obtain a fuzzy model of the world's economy.
73 citations
Journal Article•
TL;DR: An approach for solving uncertain multiple attribute group decision making problems is proposed, in which the attribute weights are completely known and the attribute values are fuzzy number intuitionistic fuzzy numbers.
Abstract: A fuzzy number intuitionistic fuzzy set is a generalization of intuitionistic fuzzy set. For the fuzzy number intuitionistic fuzzy information aggregating problems, some operational laws of fuzzy number intuitionistic fuzzy numbers are defined, based on which some new geometric aggregation operators are developed, such as the fuzzy number intuitionistic fuzzy weighted geometric (FIFWG) operator, the fuzzy number intuitionistic fuzzy ordered weighted geometric (FIFOWG) operator and the fuzzy number intuitionistic fuzzy hybrid geometric (FIFHG) operator. Based on these operators, an approach for solving uncertain multiple attribute group decision making problems is proposed, in which the attribute weights are completely known and the attribute values are fuzzy number intuitionistic fuzzy numbers. Finally, an illustrative example show the effectiveness of the proposed approach.
73 citations