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Rough approximations on $L$-groups

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Rosenfeld introduced the notion of fuzzy subgroups of a group, and Kuroki, Davvaz, etc considered the theory of rough fuzzy groups and rough fuzzy subgroups. In the paper, we introduce the notion of L-subgroups of a group, define two rough operators on L-group by an L-normal subgroup, and investigate some of their properties.

Abstract

Rosenfeld introduced the notion of fuzzy subgroups of a group, and Kuroki, Davvaz, etc considered the theory of rough fuzzy groups and rough fuzzy subgroups. In the paper, we introduce the notion of L-subgroups of a group, define two rough operators on L-group by an L-normal subgroup, and investigate some of their properties.

참고문헌 (20)

  1. R. Belohlavek, "Foundations and Principles" (2002), Kluwer
  2. R. Biswas, "Rough groups and rough subgroups", Bull. Polish Acad. Sci. Math, 42, pp.251~254 (1994)
  3. B. Budimirovic, "E-fuzzy groups", Fuzzy sets and systems, 289, pp.94~112 (2016)
  4. Xueyou Chen, "The lattice structure of L-contact relations", Advances in Fuzzy Systems, 2016, pp.8~ (2016)[DOI]
  5. Xueyou Chen, "Construction of Rough Approximations in Fuzzy Setting", Fuzzy Sets and Systems, 158, pp.2641~2653 (2007)
  6. B. Davvaz, "Roughness based on fuzzy ideals", Inform. Sci, 164, pp.2417~2437 (2006)
  7. D. Dubois, "Rough fuzzy sets and fuzzy rough sets", International Journal of General Systems, 17, pp.191~209 (1990)
  8. J. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18, pp.145~174 (1967)
  9. J. Jarvinen, "On the structure of rough approximations", Proceedings of the 3rd International Conference on Rough sets and Current Trends in Computing(RSCTC 2002), pp.123~130 (2002), Springer-Verlag
  10. N. Kuroki, "Rough ideals in semigroups", Inform. Sci, 100, pp.139~163 (1997)
  11. N. Kuroki, "The lower and upper approximations in a fuzzy group", Inform. Sci, 90, pp.203~220 (1996)
  12. J. Mordeson, "Fuzzy subsets and Fuzzy subgroups", Studies in Fuzziness and Soft Computing, 182, pp.1~39 (2005)
  13. Z. Pawlak, "Rough sets", International Journal of Computer and Information Science, 11, pp.341~356 (1982)
  14. A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
  15. M. Tarnauceanu, "A new equivalence relation to classify the fuzzy subgroups of finite groups", Fuzzy sets and systems, 289, pp.113~121 (2016)
  16. Changzhong Wang, "A short note on some properties of rough groups", Computers and mathematics with applications, 59, pp.431~436 (2010)
  17. Y. Y. Yao, "Constructive and algebraic methods of the theory of rough sets", Inform. Sci, 109, pp.21~47 (1998)
  18. N. Yaqoob, "Rough prime bi-ideals and rough fuzzy prime bi-ideals in semigroups", Ann. Fuzzy Math. Inform, 3(2), pp.203~211 (2012)
  19. N. Yaqoob, "Approximations in left almost polygroups", J. of intelligent & fuzzy systems, 36, pp.517~526 (2019)
  20. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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