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New Branch of Intuitionistic Fuzzification in Algebras with Their Applications

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

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.

Suggested Citation

  • Samaher Adnan Abdul-Ghani & Shuker Mahmood Khalil & Mayadah Abd Ulrazaq & Abu Firas Muhammad Jawad Al-Musawi, 2018. "New Branch of Intuitionistic Fuzzification in Algebras with Their Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-6, July.
    • Handle: RePEc:hin:jijmms:5712676
    DOI: 10.1155/2018/5712676
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    References listed on IDEAS

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    1. Muhammad Shabir & Muhammad Irfan Ali, 2009. "Soft Ideals And Generalized Fuzzy Ideals In Semigroups," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 599-615.
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