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e-fuzzy filters of stone almost distributive lattices

Teferi Getachew Alemayehu|Yohannes Gedamu Wondifraw
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.12|한국수학논문집 (Korean Journal of Mathematics)|제28권 제4호|pp. 775-789

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참고문헌

키워드

ADLStone ADL$ e $-fuzzy filtersprime $ e $-fuzzy filtersmaximal $ e $-fuzzy filters.
주제분류수학

초록

In this paper the concept of $ e $-fuzzy filters is introduced in a Stone Almost Distributive Lattice. Several properties are derived on $ e $-fuzzy filters with the help of maximal fuzzy filters. It is proved that the set of all $ e $-fuzzy filters forms a complete distributive lattice.

Abstract

In this paper the concept of $ e $-fuzzy filters is introduced in a Stone Almost Distributive Lattice. Several properties are derived on $ e $-fuzzy filters with the help of maximal fuzzy filters. It is proved that the set of all $ e $-fuzzy filters forms a complete distributive lattice.

참고문헌 (15)

  1. B. A. Alaba, "Fuzzy congruence relations on almost distributive lattices", Ann. Fuzzy Math. Inform
  2. Berhanu Assaye Alaba, "$e$-Fuzzy filters of MS-algebras", 한국수학논문집, 27(4), pp.1159~1180 (2019), 강원경기수학회
  3. H. Hadji-Abadi, "Some results on fuzzy prime spectrum of a ring", Fuzzy sets and systems, 77, pp.235~240 (1996)
  4. R. Kumar, "Fuzzy prime spectrum of a ring", Fuzzy sets and systems, 46, pp.147~154 (1992)
  5. R. Kumar, "Spectrum prime fuzzy ideals", Fuzzy sets and systems, 62, pp.101~109 (1994)
  6. N. Rafi, "e-filters in Stone Almost Distributive Lattices", Chamchuri Journal of Mathematics, 7, pp.16~28 (2015)
  7. A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
  8. U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy sets and systems, 95, pp.249~253 (1998)
  9. U. M. Swamy, "Almost Distributive Lattices", J. Aust. Math. Soc. (Series A), 31, pp.77~91 (1981)
  10. U. M. Swamy, "Pseudo-complementation on Almost Distributive Lattices", Southeast Asian Bullettin of Mathematics, 24, pp.95~104 (2000)
  11. U. M. Swamy, "Stone Almost Distributive Lattices", Southeast Asian Bullettin of Mathematics, 24, pp.513~526 (2000)
  12. U. M. Swamy, "Fuzzy ideals of almost distributive lattices", Ann. Fuzzy Math. Inform
  13. U. M. Swamy, "L-Fuzzy Filters of Almost Distributive Lattices", IJMSC, 8(1), pp.35~43 (2018)
  14. Bo. Yuan, "Fuzzy ideals on a distributive lattice", Fuzzy Sets and Systems, 35, pp.231~240 (1990)
  15. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Fuzzy ideals of almost distributive latticesCh. Santhi Sundar Raj, Natnael Teshale A., U. M. Swamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제4호$e$-Fuzzy filters of MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu강원경기수학회 · 한국수학논문집2019 · 제27권 제4호α-fuzzy ideals and space of prime α-fuzzy ideals in distributive latticesBerhanu Assaye Alaba, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호Fuzzy sublattices of latticesCh. Santhi Sundar Raj, K. Ramanuja Rao, K. Rama Prasad, Natnael Teshale A.기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호Prime $L$-fuzzy filters of a semilatticeB. Subrahmanyam, Ch. Santhi Sundar Raj, U. M. Swamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호Fuzzy annihilator ideals in distributive latticesBerhanu Assaye Alaba, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제2호

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