A study of the inverse problem of fuzzy dynamic integrated judgment

S. C. Cheng

A study of the inverse problem of fuzzy dynamic integrated judgment

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In [4], Zhao, Peng, and Cheng demonstrated that the fuzzy dynamic integrated judgment (FDIJ) can be decided via a fuzzy relation equation based on an appropriate fuzzy weight set and an adjustable fuzzy (feedback) relation. In general, to find a fuzzy weight set when an adjustable fuzzy relation and a FDIJ are given is much more difficult than finding a FDIJ when an adjustable fuzzy relation and a fuzzy weight set are available. In theory, for a given pair of a FDIJ and an adjustable fuzzy relation, there may not be a feasible fuzzy weight set satisfying the fuzzy relation equation. In many applications, however, it may have to deal with the situation in which an optimal fuzzy weight set is sought to work with an adjustable fuzzy feedback relation in order to induce a desired fuzzy dynamic integrated judgment. A feasible approach of deciding such an optimal fuzzy weight set for the desired fuzzy dynamic integrated judgment is the main objective of this article.

Original language	English (US)
Title of host publication	WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.
Pages	215-219
Number of pages	5
State	Published - Dec 1 2006
Event	10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Orlando, FL, United States Duration: Jul 16 2006 → Jul 19 2006

Publication series

Name	WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.
Volume	3

Other

Other	10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006
Country	United States
City	Orlando, FL
Period	7/16/06 → 7/19/06

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Computer Networks and Communications
Information Systems

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Cheng, S. C. (2006). A study of the inverse problem of fuzzy dynamic integrated judgment. In WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc. (pp. 215-219). (WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.; Vol. 3).

A study of the inverse problem of fuzzy dynamic integrated judgment. / Cheng, S. C.

WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.. 2006. p. 215-219 (WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Cheng, SC 2006, A study of the inverse problem of fuzzy dynamic integrated judgment. in WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.. WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc., vol. 3, pp. 215-219, 10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006, Orlando, FL, United States, 7/16/06.

Cheng SC. A study of the inverse problem of fuzzy dynamic integrated judgment. In WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.. 2006. p. 215-219. (WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.).

Cheng, S. C. / A study of the inverse problem of fuzzy dynamic integrated judgment. WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.. 2006. pp. 215-219 (WMSCI 2006 - The 10th World Multi-Conference on Systemics, Cybernetics and Informatics, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Proc.).

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abstract = "In [4], Zhao, Peng, and Cheng demonstrated that the fuzzy dynamic integrated judgment (FDIJ) can be decided via a fuzzy relation equation based on an appropriate fuzzy weight set and an adjustable fuzzy (feedback) relation. In general, to find a fuzzy weight set when an adjustable fuzzy relation and a FDIJ are given is much more difficult than finding a FDIJ when an adjustable fuzzy relation and a fuzzy weight set are available. In theory, for a given pair of a FDIJ and an adjustable fuzzy relation, there may not be a feasible fuzzy weight set satisfying the fuzzy relation equation. In many applications, however, it may have to deal with the situation in which an optimal fuzzy weight set is sought to work with an adjustable fuzzy feedback relation in order to induce a desired fuzzy dynamic integrated judgment. A feasible approach of deciding such an optimal fuzzy weight set for the desired fuzzy dynamic integrated judgment is the main objective of this article.",

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