Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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INTUITIONISTIC FUZZY SETS IN GAMMA-SEMIGROUPS

  • Uckun, Mustafa (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES INONU UNIVERSITY) ;
  • Ozturk, Mehmet Ali (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES CUMHURIYET UNIVERSITY) ;
  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2007.05.31
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Abstract

We consider the intuitionistic fuzzification of the concept of several ${\Gamma}$-ideals in a ${\Gamma}$-semigroup S, and investigate some properties of such ${\Gamma}$-ideals.

Keywords

References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), no. 1, 87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), no. 2, 137-142 https://doi.org/10.1016/0165-0114(94)90229-1
  3. K. H. Kim and Y. B. Jun, Intuitionistic fuzzy interior ideals of semigroups, Int. J. Math. Math. Sci. 27 (2001), no. 5, 261-267 https://doi.org/10.1155/S0161171201010778
  4. K. H. Kim, Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math. 33 (2002), no. 4, 443-449
  5. N. Kuroki, On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems 5 (1981), no. 2, 203-215 https://doi.org/10.1016/0165-0114(81)90018-X
  6. N. Kuroki, Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems 8 (1982), no. 1, 71-79 https://doi.org/10.1016/0165-0114(82)90031-8
  7. N. K. Saha, On ${\Gamma}-semigroup$ II, Bull. Calcutta Math. Soc. 79 (1987), no. 6, 331-335
  8. N. K. Saha, On ${\Delta}-semigroup$ III, Bull. Calcutta Math. Soc. 80 (1988), no. 1, 1-12
  9. M. K. Sen and N. K. Saha, On ${\Delta}-semigroup$ I, Bull. Calcutta Math. Soc. 78 (1986), no. 3, 180-186
  10. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

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