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ON SOME RELATIONSHIPS OF OTMOs OVER IFSs

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It was represented in [10] that the modal operators over IFSs are constitute a diagram. In [12] this diagram was expanded with the op-erator Zω,α,β. Recently, almost thirty modal operators over IFSs were de¯ned and relationships among these operators were investigated by several authors ([4],[7],[11], etc.). In this paper we studied some relatiomships among one type modal oper-ators (OTMOs) over IFSs. Our purpose is study to whether one type modal operators have same characteristical properties or not.

Abstract

It was represented in [10] that the modal operators over IFSs are constitute a diagram. In [12] this diagram was expanded with the op-erator Zω,α,β. Recently, almost thirty modal operators over IFSs were de¯ned and relationships among these operators were investigated by several authors ([4],[7],[11], etc.). In this paper we studied some relatiomships among one type modal oper-ators (OTMOs) over IFSs. Our purpose is study to whether one type modal operators have same characteristical properties or not.

참고문헌 (14)

  1. Atanassov K.T., "Intuitionistic Fuzzy Sets, Ⅶ ITKR's Session" (1983), Sofia
  2. Atanassov K.T., "Intuitionistic Fuzzy Sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  3. Atanassov K.T., "Intuitionistic Fuzzy Sets" (1999), Phiysica-Verlag
  4. Atanassov K.T., "Remark on Two Operations Over Intuitionistic Fuzzy Sets", Int. J. of Uncer- atanity, Fuzzyness and Knowledge Syst., 9(1), pp.71~75 (2001)
  5. Atanassov K.T., "On the type of intuitionistic fuzzy modal operators", NIFS, 11(5), pp.24~28 (2005)
  6. Atanassov K.T., "The most general form of one type of intuitionistic fuzzy modal operators", NIFS, 12(2), pp.36~38 (2006)
  7. K. T. Atanassov, "Some properties of the operators from one type of intuitionistic fuzzy modal operators", Advanced Studies in Contemporary Mathematics, 15(1), pp.13~20 (2007), 장전수학회
  8. Atanassov K.T., "The most general form of one type of intuitionistic fuzzy modal operators, Part 2", NIFS, 14(1), pp.27~32 (2008)
  9. Atanassov K.T., "Theorem for equivalence of the two most general intuitionistic fuzzy modal operators", NIFS, 15(1), pp.26~31 (2008)
  10. Atanassov K.T., "25 years of intuitionistic fuzzy sets, or: The most important results and mistakes of mine", 7 th Int. workshop on IFSs and gen. nets. (2008)
  11. G. Cuvalcioglu, "Some properties of E_a,b operator", Advanced Studies in Contemporary Mathematics, 14(2), pp.305~310 (2007), 장전수학회
  12. GOKHAN CUVALCIOGLU, "EXPAND THE MODAL OPERATOR DIAGRAM WITH Z", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(3), pp.403~412 (2010), 장전수학회
  13. Dencheva K., "Extension of intuitionistic fuzzy modal operators and", Proc.of the Second Int. IEEE Symp. Intelligent systems, 통권 : 3, pp.21~22 (2004)
  14. Zadeh L.A., "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)

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