Equality and Identity of Fuzzy Numbers and Fuzzy Arithmetic with Equality Constraints

DOI

10.2991/iske.2007.56How to use a DOI?

Keywords

Fuzzy numbers; Identity; Generalized constraint operators; Fuzzy equation

Abstract

The difference between equality and identity of two fuzzy numbers is discussed in this paper. According to fuzzy arithmetic with requisite constraints put forward by Klir, the fuzzy arithmetic with equality constraints and its expression based on structured element are put forward, and then the irreversible problem in traditional fuzzy arithmetic is solved. From the expression based on structured element, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form. From this transition we get the operation method of equality constraint arithmetic and the calculation method of fuzzy equation.

Copyright

© 2007, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Haitao Liu
AU  - Sizong GUO
PY  - 2007/10
DA  - 2007/10
TI  - Equality and Identity of Fuzzy Numbers and Fuzzy Arithmetic with Equality Constraints
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 334
EP  - 339
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.56
DO  - 10.2991/iske.2007.56
ID  - Liu2007/10
ER  -