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Title

Investigation of selected fuzzy operations and implications for engineering

Author(s)

Czogala, Ernest;  Kowalczyk, Ryszard

Abstract

Fuzzy relations (operations and implications) are examined in order to highlight some aspects which may be helpful in choosing proper fuzzy relations in engineering applications. A number or representative fuzzy relations are classified according to a distance measure on the [0,1] interval. The results of these relations are validated qualitatively with respect to the compositional rule of inference and aggregation rules using a singleton fuzzifier. Fuzzy products and implications can give meaningful and reasonable results when used to represent fuzzy relations. However, only products lead to inference results not violating common engineering sense based on the causality principle.

Publication type

Conference paper

Source

Proceedings of the 5th IEEE International Conference on Fuzzy Systems, New Orleans, United States, 08-11 August 1996, Vol. 2, pp. 879-885

Publication year

1996

Keyword(s)

Boundary value problems;  Fuzzy control;  Fuzzy operations;  Fuzzy sets;  Operations research;  Process engineering

Publisher

IEEE

ISBN

9780780336452, 0780336453

Publisher URL

http://dx.doi.org/10.1109/FUZZY.1996.552295

Copyright

Copyright © 1996 IEEE. Published version of the paper reproduced here in accordance with the copyright policy of the publisher. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Full text

Peer reviewed