Title :
Laws for conjunctions and disjunctions in interval type 2 fuzzy sets
Author :
Bustince, Humberto ; Montero, Javier ; Barrenechea, Edurne ; Pagola, Miguel
Author_Institution :
Dept. of Autom. & Comput., Public Univ. of Navarra, Pamplona
Abstract :
In this paper we study in depth certain properties of interval type 2 fuzzy sets. In particular we recall a method to construct different interval type 2 fuzzy connectives starting from an operator. We further study the law of contradiction and the law of excluded middle for these sets. Furthermore we analyze the properties: idempotency, absorption, and distributiveness.
Keywords :
fuzzy set theory; absorption; distributiveness; idempotency; interval type 2 fuzzy sets; Absorption; Decision making; Fuzzy set theory; Fuzzy sets; Lattices; Mathematics; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1818-3
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2008.4630587
