Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules

DOI

10.2991/ijcis.2011.4.5.18How to use a DOI?

Keywords

Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications.

Abstract

Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit interval, then use them to establish three kinds of fully implicational reasoning methods for the interval-valued fuzzy reasoning with multi-antecedent rules which are called triple I method, hierarchical triple I method and URC triple I method respectively. At the same time, we analyze the Modus-Ponens (MP for short) and continuity properties of these methods and investigate the equivalence between the first method and the latter two methods. We also restrict our discussion to Zadeh fuzzy set theory and obtain a series of corresponding results.

Copyright

© 2011, 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  - JOUR
AU  - Hua-Wen Liu
AU  - Cheng Li
PY  - 2011
DA  - 2011/10/03
TI  - Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
JO  - International Journal of Computational Intelligence Systems
SP  - 929
EP  - 945
VL  - 4
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2011.4.5.18
DO  - 10.2991/ijcis.2011.4.5.18
ID  - Liu2011
ER  -