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Hesitant fuzzy bi-ideals in semigroups

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초록

Characterizations of hesitant fuzzy left (right) ideals are considered. The notion of hesitant fuzzy (generalized) bi-ideals is introduced, and related properties are investigated. Relations between hesitant fuzzy generalized bi-ideals and hesitant fuzzy semigroups are discussed, and characterizations of (hesitant fuzzy) generalized bi-ideals and hesitant fuzzy bi-ideals are considered. Given a hesitant fuzzy set ${\mathcal H}$ on a semigroup $S$, hesitant fuzzy (generalized) bi-ideals generated by ${\mathcal H}$ are established.

Abstract

Characterizations of hesitant fuzzy left (right) ideals are considered. The notion of hesitant fuzzy (generalized) bi-ideals is introduced, and related properties are investigated. Relations between hesitant fuzzy generalized bi-ideals and hesitant fuzzy semigroups are discussed, and characterizations of (hesitant fuzzy) generalized bi-ideals and hesitant fuzzy bi-ideals are considered. Given a hesitant fuzzy set ${\mathcal H}$ on a semigroup $S$, hesitant fuzzy (generalized) bi-ideals generated by ${\mathcal H}$ are established.

참고문헌 (11)

  1. Y. B. Jun, "Hesitant fuzzy ideals in semigroups", ~
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  3. Y. B. Jun, "Hesitant fuzzy prefilters and filters of EQ-algebras", Appl. Math. Sci, 9, pp.515~532 (2015)
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  6. V. Torra, "On hesitant fuzzy sets and decision", The 18th IEEE International Conference on Fuzzy Systems, pp.1378~1382 (2009)
  7. G. Wei, "Hesitant fuzzy prioritized operators and their application to multiple attribute decision making", Knowledge-Based Systems, 31, pp.176~182 (2012)
  8. M. Xia, "Hesitant fuzzy information aggregation in decision making, Inter-nat", J. Approx. Reason, 52(3), pp.395~407 (2011)
  9. M. Xia, "Some hesitant fuzzy aggregation operators with their application in group decision making", Group Decision Negotiation, 22, pp.259~279 (2013)
  10. Z. S. Xu, "Distance and similarity measures for hesitant fuzzy sets", Inform. Sci, 181(11), pp.2128~2138 (2011)
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