Doubt Atanassov's intuitionistic fuzzy Sub-implicative ideals in -algebras

DOI

10.1080/18756891.2015.1001948How to use a DOI?

Keywords

-algebra, implicative -algebra, doubt Atanassov's intuitionistic fuzzy ideal, fuzzy subimplicative ideal, fuzzy -ideal

Abstract

The notions of doubt Atanassov's intuitionistic fuzzy sub-implicative ideals and doubt Atanassov's intuitionistic fuzzy -ideals of -algebras are introduced. We show that an Atanassov's intuitionistic fuzzy subset of -algebras is an Atanassov's intuitionistic fuzzy sub-implicative ideal if and only if the complement of this Atanassov's intuitionistic fuzzy subset is a doubt Atanassov's intuitionistic fuzzy sub-implicative-ideal. We prove that any doubt Atanassov's intuitionistic fuzzy -ideal is always a doubt Atanassov's intuitionistic fuzzy sub-implicative ideal. Moreover, some other properties about doubt Atanassov's intuitionistic fuzzy sub-implicative ideals and doubt Atanassov's intuitionistic fuzzy -ideals of -algebras are given.

Copyright

© 2017, 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  - Tripti Bej
AU  - Madhumangal Pal
PY  - 2015
DA  - 2015/04/01
TI  - Doubt Atanassov's intuitionistic fuzzy Sub-implicative ideals in -algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 240
EP  - 249
VL  - 8
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1001948
DO  - 10.1080/18756891.2015.1001948
ID  - Bej2015
ER  -