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Intuitionistic Fuzzy Soft K-Algebras


Intuitionistic fuzzy sets and soft sets are two different soft computing models for representing vagueness and uncertainty. We apply these soft computing models in combination to study vagueness and uncertainty in K-algebras. We first introduce the notion of \({(\in, \in\vee q)}\)-intuitionistic fuzzy K-algebras and discuss some of their properties. Then we introduce intuitionistic fuzzy soft K-algebras and investigate some of their properties. Finally, we introduce \({(\in, \in \vee q)}\)-intuitionistic fuzzy soft K-algebras and present some of their related properties.

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Correspondence to Muhammad Akram.

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This work was completed with the support of adminstration of PUCIT.

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Akram, M., Davvaz, B. & Feng, F. Intuitionistic Fuzzy Soft K-Algebras. Math.Comput.Sci. 7, 353–365 (2013).

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  • K-algebras
  • \({(\in, \in \vee q)}\)-intuitionistic fuzzy K-algebra
  • Intuitionistic fuzzy K-subalgebras
  • \({(\in, \in \vee q)}\)-intuitionistic fuzzy soft K-algebra

Mathematical Subject Classification (2000)

  • 20N15
  • 94D05