Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 62, Issue 10, Pages 3729-3740Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.09.021
Keywords
Fuzzy set closed under fuzzy relation; Eigen fuzzy set; Fuzzy control; Lattice valued fuzzy sets and relations
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Funding
- Ministry of Education and Science of the Republic of Serbia [174013]
- Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina
- [FEDER-MEC-MTM2010-17844]
- [FICYT-PC07-11]
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Motivated by fuzzy control problems and by some investigations of eigen fuzzy sets, we deal with a closedness of fuzzy sets under fuzzy relations in two ways: in one sense by directly analyzing fuzzy concepts and in the other by investigating the corresponding crisp problems in the cutworthy framework. Our main task is to investigate particular fuzzy functional equations and inequations appearing in this context, which turn out to be essentially connected with fuzzy control problems. We analyze procedures and find solutions of these equations and inequations, pointing to important applications. (C) 2011 Elsevier Ltd. All rights reserved.
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