Atanassov’s Intuitionistic Fuzzy Translations of Intuitionistic Fuzzy Subalgebras and Ideals in BCK/BCI-Algebras


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Authors

  • Tapan Senapati
  • Monoranjan Bhowmik
  • Madhumangal Pal
  • Bijan Davvaz

Keywords:

intuitionistic fuzzy subalgebra, intuitionistic fuzzy ideal, intuitionistic fuzzy translation, intuitionistic fuzzy extension, intuitionistic fuzzy multiplication

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.

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Published

2015-03-30

How to Cite

Senapati, T., Bhowmik, M., Pal, M., & Davvaz, B. (2015). Atanassov’s Intuitionistic Fuzzy Translations of Intuitionistic Fuzzy Subalgebras and Ideals in BCK/BCI-Algebras. Eurasian Mathematical Journal, 6(1), 96–114. Retrieved from https://emj.enu.kz/index.php/main/article/view/601

Issue

Vol. 6 No. 1 (2015)

Section

Articles