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Subalgebras and Ideals of BCK/BCI-Algebras in the Framework of the Hesitant Intersection

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Using the hesitant intersection ($\Cap$), the notions of $\Cap$-hesitant fuzzy subalgebras, $\Cap$-hesitant fuzzy ideals and $\Cap$-hesitant fuzzy $p$-ideals are introduced,and their relations and relatedproperties are investigated. Conditions for a $\Cap$-hesitant fuzzy ideal to be a $\Cap$-hesitant fuzzy $p$-ideal are provided. The extension property for $\Cap$-hesitant fuzzy $p$-ideals is established.}

Abstract

Using the hesitant intersection ($\Cap$), the notions of $\Cap$-hesitant fuzzy subalgebras, $\Cap$-hesitant fuzzy ideals and $\Cap$-hesitant fuzzy $p$-ideals are introduced,and their relations and relatedproperties are investigated. Conditions for a $\Cap$-hesitant fuzzy ideal to be a $\Cap$-hesitant fuzzy $p$-ideal are provided. The extension property for $\Cap$-hesitant fuzzy $p$-ideals is established.}

참고문헌 (13)

  1. Y. Huang, "BCI-algebra" (2006), Science Press
  2. 전영배, "HESITANT FUZZY SET THEORY APPLIED TO FILTERS IN MTL-ALGEBRAS", 호남수학학술지, 36(4), pp.813~830 (2014), 호남수학회
  3. J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
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  8. F. Q. Wang, "Hesitant fuzzy soft set and its applications in multicriteria decision making", J. Appl. Math., pp.643785~ (2014)
  9. G. Wei, "Hesitant fuzzy prioritized operators and their application to multiple attribute decision making", Knowledge-Based Systems, 31, pp.176~182 (2012)
  10. M. Xia, "Hesitant fuzzy information aggregation in decision making", Internat. J. Approx. Reason., 52(3), pp.395~407 (2011)
  11. Z. S. Xu, "Distance and similarity measures for hesitant fuzzy sets", Inform. Sci., 181(11), pp.2128~2138 (2011)
  12. Z. S. Xu, "On distance and correlation measures of hesitant fuzzy information", Int. J. Intell. Syst., 26(5), pp.410~425 (2011)
  13. X. H. Zhang, "On p-ideals of a BCI-algebra", Punjab Univ. J. Math., 27, pp.121~128 (1994)

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