Rough ideals based on ideal determined varieties

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
View: 142

This Paper With 21 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_ASYAZDT-6-1_001

تاریخ نمایه سازی: 15 دی 1401

Abstract:

The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ideals in an algebraic structure, are introduced and investigated.

Authors

Saeed Rasouli

Department of Mathematics, College of science, Persian Gulf University, Bushehr, ۷۵۱۶۹۱۳۸۱۷, Iran

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • P. Agliano and A. Ursini, Ideals and other generalizations of ...
  • A ۵۳ (۱۹۹۲), ۱۰۳-۱۱۵ ...
  • P. Agliano and A. Ursini, On subtractive varieties II: General ...
  • Z. Bonikowski, Algebraic structures of rough sets, Rough sets, fuzzy ...
  • S. Burris and H. A. Sankappanavar, A Course in Universal ...
  • B. Davvaz, Roughness in rings, Inf. Sci. ۱۶۴ (۲۰۰۴) ۱۴۷-۱۶۳ ...
  • B. Davvaz, A short note on algebraic T-rough sets, Inf. ...
  • B. Davvaz and M. Mahdavipour, Roughness in modules, Inf. Sci. ...
  • K. Denecke, M. Erne and S. L. Wismath, Galois connections ...
  • D. Dubois and H. Prade, Rough fuzzy sets and fuzzy ...
  • F. Feng, C. Li, B. Davvaz and M.I. Ali, Soft ...
  • K. Fichtner, Varieties of universal algebras with ideals, Mat. Sbornik ...
  • Deutsch. Akad. d. Wiss. (Berlin) ۱۲ (۱۹۷۰), ۲۱-۲۵ ...
  • B. Ganter and R. Wille, Formal Concept Analysis, Mathematical Foundations, ...
  • G. Gediga, I. Duntsch, Modal-style operators in qualitative data analysis, ...
  • H.P. Gumm and A. Ursini, Ideals in universal algebras, Algebra ...
  • F. Garca Pardo, I. P. Cabrera, P. Cordero and M. ...
  • G. Gratzer, Universal Algebra, Van Nostrand, Princeton, N.J., ۱۹۶۸ ...
  • P. J. Higgins, Groups with multiple operators, Proc. London Math. ...
  • M. Irfan Ali, B. Davvaz and M. Shabir, Some properties ...
  • W. Krull, Axiomatische Begrundung der allgemeinen Idealtheorie, Sitzungsberichteder Physikalisch Medizinischen ...
  • N. Kuroki and P.P. Wang, The lower and upper approximations ...
  • H. Lai, D. Zhang, Concept lattices of fuzzy contexts: Formal ...
  • R. Magari, Su una classe equazionale di algebre, Ann. Mat. ...
  • Z. Pawlak, Rough sets, Int. J. Inf. Comput. Sci. ۱۱ ...
  • J. Pomykala and J. A. Pomykala, The stone algebra of ...
  • S. Rasouli and B. Davvaz, Lattices derived from hyperlattices, Communications ...
  • S. Rasouli and B. Davvaz, -relations on implicative bounded hyper ...
  • S. Rasouli and B. Davvaz, Roughness in MV-algebras, Inf. Sci. ...
  • S. Rasouli and B. Davvaz, Homomorphism, Ideals and Binary Relations ...
  • S. Rasouli, B. Davvaz, An Investigation on Algebraic Structure of ...
  • S. Rasouli and B. Davvaz, An investigation on Boolean prime ...
  • S. Rasouli and B. Davvaz, An investigation on regular relations ...
  • S. Rasouli and B. Davvaz, Rough lters based on residuated ...
  • S. Rasouli and A. Radfar, PMTL lters, Rl lters and ...
  • S. Rasouli, Z. Zarin and A. Hassankhani, Characterization of a ...
  • A. Ursini, Sulle varieta di algebre con una buona teoria ...
  • A. Ursini, On subtractive varieties I, Algebra Universalis ۳۱ (۱۹۹۴), ...
  • R. Wille, Restructuring lattice theory: An approach based on hierarchies ...
  • Q. Xiaoa, Q. Lia and L. Guo, Rough sets induced ...
  • S. Yamaka, O. Kazancia and B. Davvaz, Generalized lower and ...
  • ۱۸۰ (۲۰۱۰) ۱۷۵۹-۱۷۶۸ ...
  • Y.Y. Yao, Constructive and algebraic methods of the theory of ...
  • نمایش کامل مراجع