Abstract
A generalized intuitionistic fuzzy set (GIFSB) is proposed. It is shown
that Atanassov’s intuitionistic fuzzy set, intuitionistic fuzzy sets of root
type and intuitionistic fuzzy sets of second type are special cases of
this new one. Some important notions, basic algebraic properties of
GIFSB, three operators and their relationship are discussed. The algebraic properties include being closed under union, being closed under
intersection, being closed under a necessity measure, being closed under
a possibility measure and de Morgan type identities.
Keywords
Generalized intuitionistic fuzzy set Intuitionistic fuzzy set Intu- itionistic fuzzy sets of root type Intuitionistic fuzzy sets of second type
References
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Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Statistics |
| Authors | |
| Publication Date | December 1, 2015 |
| Published in Issue | Year 2015 Volume: 44 Issue: 6 |