New Branch of Intuitionistic Fuzzification in Algebras with Their Applications

Samaher Adnan Abdul-Ghani, Shuker Mahmood Khalil, Mayadah Abd Ulrazaq and Abu Firas Muhammad Jawad Al-Musawi

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-6

Abstract:

The intuitionistic fuzzification in algebras about the concepts of ideals and subalgebras given with several related characterizations is considered. Some new concepts like intuitionistic fuzzy ideal ( ), intuitionistic fuzzy subalgebra ( ), homomorphism, and intuitionistic fuzzy ideal ( ) are introduced and some of their descriptions are given in this work. Further, we show some applications on the family of all intuitionistic fuzzy subalgebras in algebra like the binary relations , and on . Also, their equivalence classes are given and studied.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5712676

DOI: 10.1155/2018/5712676

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