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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 96–114
(Mi emj187)
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This article is cited in 11 scientific papers (total in 11 papers)
Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras
T. Senapatia, M. Bhowmikb, M. Pala, B. Davvazc a Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721 102, India
b Department of Mathematics, V. T. T. College, Midnapore - 721 101, India
c Department of Mathematics, Yazd University, Yazd, Iran
Abstract:
In this paper, the concepts of intuitionistic fuzzy translation to intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of intuitionistic fuzzy subalgebras and ideals are introduced and several related properties are investigated. In this paper, the relationships between intuitionistic fuzzy translations and intuitionistic fuzzy extensions of intuitionistic fuzzy subalgebras and ideals are investigated.
Keywords and phrases:
intuitionistic fuzzy subalgebra, intuitionistic fuzzy ideal, intuitionistic fuzzy translation, intuitionistic fuzzy extension, intuitionistic fuzzy multiplication.
Received: 20.01.2013
Citation:
T. Senapati, M. Bhowmik, M. Pal, B. Davvaz, “Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras”, Eurasian Math. J., 6:1 (2015), 96–114
Linking options:
https://www.mathnet.ru/eng/emj187 https://www.mathnet.ru/eng/emj/v6/i1/p96
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Abstract page: | 311 | Full-text PDF : | 141 | References: | 52 |
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