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New properties of $S_{\alpha ,\beta }$ and $T_{\alpha ,\beta }$ Intuitionistic fuzzy modal operators

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초록

K. T. Atanassov defined Intuitionistic Fuzzy Modal Operators firstly in 1999 [2]. After then, new Intuitionistic Fuzzy Modal Operators called one type and second type modal operators on Intuitionistic Fuzzy Sets introduced by different authors [3,4,5,7,10,11,13,16]. Several properties of these operators had been studied by researchers. New properties of intuitionistic fuzzy modal operators called $S_{\alpha,\beta }$ and $T_{\alpha ,\beta }$ are investigated.

Abstract

K. T. Atanassov defined Intuitionistic Fuzzy Modal Operators firstly in 1999 [2]. After then, new Intuitionistic Fuzzy Modal Operators called one type and second type modal operators on Intuitionistic Fuzzy Sets introduced by different authors [3,4,5,7,10,11,13,16]. Several properties of these operators had been studied by researchers. New properties of intuitionistic fuzzy modal operators called $S_{\alpha,\beta }$ and $T_{\alpha ,\beta }$ are investigated.

참고문헌 (17)

  1. K. T. Atanassov, "Intuitionistic Fuzzy Sets" (1983), VII ITKR's Session
  2. K. T. Atanassov, "Intuitionistic fuzzy sets" (1999), Phiysica-Verlag
  3. K. T. Atanassov, "Remark on two operations over intuitionistic fuzzy sets", Intnat. J. Uncertan. Fuzzyness Knowledge-Based Syst, 9(1), pp.71~75 (2001)
  4. K. T. Atanassov, "The most general form of one type of intuitionistic fuzzy modal operators", NIFS, 12(2), pp.36~38 (2006)
  5. K. T. Atanassov, "The most general form of one type of intuitionistic fuzzy modal operators", NIFS, 14(1), pp.27~32 (2008)
  6. K. T. Atanassov, "Studies in fuzziness and soft computing-on intuitionistic fuzzy sets theory" (2012), Springer
  7. K. T. Atanassov, "A new modal operator over intuition- istic fuzzy sets", Notes on IFS, 20(5), pp.18~ (2014)
  8. S. R. Barbhuiya, "Model operator 􀀀α,β,γ,δ,ε,ζ in intuitionistic fuzzy BG-algebras", Ann. Fuzzy Math. Inform, 11(2), pp.241~257 (2016)
  9. T. Bej, "Doubt intuitionistic fuzzy H-ideals in BCK", BCI-algebras, 2014, pp.8(4), 593~605
  10. G. Cuvalcioglu, "Some properties of Eα,β operator", Advanced Studies on Contemporary Mathematics, 14(2), pp.305~310 (2007)
  11. G. Cuvalcioglu, "On the diagram of one type modal operators on intuitionistic fuzzy sets: Last expanding with Zω,θ α,β", Iranian Journal of Fuzzy Systems, 10(1), pp.89~106 (2013)
  12. G. Cuvalcioglu, "New tools based on intuitionistic fuzzy sets and generalized nets", pp.55~71 (2016), Springer
  13. K. Dencheva, "Extension of intuitionistic fuzzy modal operators □ and □", Proc.of the Second Int. IEEE Symp. Intelligent systems, pp.21~22 (2004)
  14. S. Yilmaz, "Intuitionistic fuzzy modal operatorler: Sα,β ve Tα,β", 28th National Mathematical Semposium (2015)
  15. S. Yilmaz, "On study of some intuitionistic fuzzy operators for intuitionistic fuzzy algebraic structures", Journal of Fuzzy Set Valued Analysis, 2016(3), pp.1~9 (2016)
  16. S. Yilmaz, "Extentsion of intuitionistic fuzzy modal operators diagram with new operators", Notes on IFS, 20(5), pp.26~35 (2014)
  17. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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