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Nearness rings

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In this paper, we consider the problem of how to establish algebraic structures on nearness approximation spaces. Essentially, our approach is to define the nearness ring, nearness ideal and nearness ring of all weak cosets by considering new operations on the set of all weak cosets. Afterwards, our aim is to study homomorphism on nearness approximation spaces, and to investigate some properties of nearness rings and ideals.

Abstract

In this paper, we consider the problem of how to establish algebraic structures on nearness approximation spaces. Essentially, our approach is to define the nearness ring, nearness ideal and nearness ring of all weak cosets by considering new operations on the set of all weak cosets. Afterwards, our aim is to study homomorphism on nearness approximation spaces, and to investigate some properties of nearness rings and ideals.

참고문헌 (21)

  1. M. Banrjee, "Rough Sets Through Algebraic Logic", Fund. Inform, 28(3-4), pp.211~221 (1996)
  2. R. Biswas, "Rough groups and rough subgroups", Bull. Pol. AC. Math, 42, pp.251~254 (1994)
  3. A. Cli ord, "The Algebraic Theory of Semigroups I", Amer. Math. Soc. Providence, RI, Mathematical Surveys (1961)
  4. B. Davvaz, "Roughness in rings", Inform. Sci, 164, pp.147~163 (2004)
  5. T. B. Iwinski, "Algebraic approach to rough sets", Bull. Pol. AC. Math, 35, pp.673~683 (1987)
  6. E. _Inan, "Near groups in nearness approximation spaces", Hacet. J. Math. Stat, 41(4), pp.545~558 (2012)
  7. E. _Inan, "Erratum and notes for near groups on nearness approximation spaces", Hacet. J. Math. Stat, 43(2), pp.279~281 (2014)
  8. E. _Inan, "Near semigroups on nearness approximation spaces", Ann. Fuzzy Math. Inform, 10(2), pp.287~297 (2015)
  9. J. Jarvinen, "On the structure of rough approximations", Fund. Inform, 53(2), pp.135~153 (2002)
  10. S. A. Naimpally, "Topological Spaces via Near and Far World Scientific" (2013)
  11. M. A.  Ozturk, "Near group of weak cosets on nearness approximation spaces", Fund. Inform, 133, pp.433~448 (2014)
  12. P. Pagliani, "Rough sets and Nelson algebras", Fund. Inform, 27(2-3), pp.205~219 (1996)
  13. J. F. Peters, "Near Sets. General Theory About Nearness of Objects", Applied Math. Sci, 1(53-56), pp.2609~2629 (2007)
  14. J. F. Peters, "Near sets: An introduction", Math. Comput. Sci, 7(1), pp.3~9 (2013)
  15. J. F. Peters, "Near sets: Special Theory about Nearness of Objects", Fund. Inform, 75(1-4), pp.407~433 (2007)
  16. J. F. Peters, "Approach merotopies and near filters", Gen. Math. Notes, 3(1), pp.1~15 (2011)
  17. J. F. Peters, "Applications of near sets", Notices Amer. Math. Soc, 59(4), pp.536~542 (2012)
  18. A.Skowron, "Tolerance Approximation Spaces", Fund. Inform, 27(2-3), pp.245~253 (1996)
  19. S. Rasouli, "Roughness in MV-algebras", Inform. Sci, 180, pp.737~747 (2010)
  20. M. Wolski, "Perception and classification. A note on near sets and rough Sets", Fund. Inform, 101(1-2), pp.143~155 (2010)
  21. S. Yamak, "Generalized lower and upper approximations in a ring", Inform. Sci, 180, pp.1759~1768 (2010)

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