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Volumn 178, Issue 17, 2008, Pages 3474-3481

Fuzzy filters and fuzzy prime filters of bounded R ℓ-monoids and pseudo BL-algebras

Author keywords

Filter; Fuzzy filter; Fuzzy prime filter; Prime filter; Pseudo BL algebra; Pseudo MV algebra; R monoid

Indexed keywords

ALGEBRA; BOOLEAN ALGEBRA; FUZZY INFERENCE; INFORMATION SYSTEMS; INFORMATION THEORY; MATRIX ALGEBRA; SEMANTICS; WAVE FILTERS;

EID: 45849144060     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.05.005     Document Type: Article
Times cited : (19)

References (28)
  • 1
    • 0004264852 scopus 로고
    • University of Missouri Press, Columbia, Missouri
    • Balbes R., and Dwinger P. Distributive Lattices (1974), University of Missouri Press, Columbia, Missouri
    • (1974) Distributive Lattices
    • Balbes, R.1    Dwinger, P.2
  • 2
    • 0347569529 scopus 로고    scopus 로고
    • The structure of residuated lattices
    • Blount K., and Tsinakis C. The structure of residuated lattices. Int. J. Algebr. Comput. 13 (2003) 437-461
    • (2003) Int. J. Algebr. Comput. , vol.13 , pp. 437-461
    • Blount, K.1    Tsinakis, C.2
  • 3
    • 84968495744 scopus 로고
    • Algebraic analysis of many valued logic
    • Chang C.C. Algebraic analysis of many valued logic. Trans. Am. Math. Soc. 88 (1958) 467-490
    • (1958) Trans. Am. Math. Soc. , vol.88 , pp. 467-490
    • Chang, C.C.1
  • 7
    • 33645665868 scopus 로고    scopus 로고
    • Probabilistic averaging in bounded R ℓ-monoids
    • Dvurečenskij A., and Rachůnek J. Probabilistic averaging in bounded R ℓ-monoids. Semigroup Forum 72 (2006) 190-206
    • (2006) Semigroup Forum , vol.72 , pp. 190-206
    • Dvurečenskij, A.1    Rachůnek, J.2
  • 8
    • 35748952485 scopus 로고    scopus 로고
    • Fuzzy prime ideals of pseudo-MV algebras
    • Dymek G. Fuzzy prime ideals of pseudo-MV algebras. Soft Comput. 12 (2008) 365-372
    • (2008) Soft Comput. , vol.12 , pp. 365-372
    • Dymek, G.1
  • 11
    • 0000673538 scopus 로고    scopus 로고
    • Basic fuzzy logic and BL-algebras
    • Hájek P. Basic fuzzy logic and BL-algebras. Soft Comput. 2 (1998) 124-128
    • (1998) Soft Comput. , vol.2 , pp. 124-128
    • Hájek, P.1
  • 12
    • 10844278936 scopus 로고    scopus 로고
    • Observations on non-commutative fuzzy logic
    • Hájek P. Observations on non-commutative fuzzy logic. Soft Comput. 8 (2003) 39-43
    • (2003) Soft Comput. , vol.8 , pp. 39-43
    • Hájek, P.1
  • 13
    • 38149146396 scopus 로고
    • Fuzzy ideals of BCI and MV-algebras
    • Hoo C.S. Fuzzy ideals of BCI and MV-algebras. Fuzzy Sets Syst. 62 (1994) 111-114
    • (1994) Fuzzy Sets Syst. , vol.62 , pp. 111-114
    • Hoo, C.S.1
  • 14
    • 0041956112 scopus 로고
    • Fuzzy implicative and Boolean ideals of MV-algebras
    • Hoo C.S. Fuzzy implicative and Boolean ideals of MV-algebras. Fuzzy Sets Syst. 66 (1994) 315-327
    • (1994) Fuzzy Sets Syst. , vol.66 , pp. 315-327
    • Hoo, C.S.1
  • 15
    • 0142205490 scopus 로고    scopus 로고
    • A survey of residuated lattices
    • Martinez J. (Ed), Kluwer Academic Publishers, Dordrecht
    • Jipsen P., and Tsinakis C. A survey of residuated lattices. In: Martinez J. (Ed). Ordered Algebraic Structures (2002), Kluwer Academic Publishers, Dordrecht 19-56
    • (2002) Ordered Algebraic Structures , pp. 19-56
    • Jipsen, P.1    Tsinakis, C.2
  • 17
    • 33845936053 scopus 로고    scopus 로고
    • Redefined fuzzy implicative filters
    • Jun Y.B., Xu Y., and Ma J. Redefined fuzzy implicative filters. Inform. Sci. 177 (2007) 1422-1429
    • (2007) Inform. Sci. , vol.177 , pp. 1422-1429
    • Jun, Y.B.1    Xu, Y.2    Ma, J.3
  • 18
    • 15744404578 scopus 로고    scopus 로고
    • Pseudo BL-algebras and DR ℓ-monoids
    • Kühr J. Pseudo BL-algebras and DR ℓ-monoids. Math. Bohemica 128 (2003) 199-208
    • (2003) Math. Bohemica , vol.128 , pp. 199-208
    • Kühr, J.1
  • 19
    • 15544382141 scopus 로고    scopus 로고
    • Ideals of noncommutative DR ℓ-monoids
    • Kühr J. Ideals of noncommutative DR ℓ-monoids. Czech. Math. J. 55 130 (2005) 97-111
    • (2005) Czech. Math. J. , vol.55 , Issue.130 , pp. 97-111
    • Kühr, J.1
  • 20
    • 29144475773 scopus 로고    scopus 로고
    • Non-commutative Łukasiewicz propositional logic
    • Leustean I. Non-commutative Łukasiewicz propositional logic. Arch. Math. Logic 45 (2006) 191-213
    • (2006) Arch. Math. Logic , vol.45 , pp. 191-213
    • Leustean, I.1
  • 22
    • 34548229848 scopus 로고    scopus 로고
    • BCI-implicative ideals of BCI-algebras
    • Liu Y.L., Xu Y., and Meng J. BCI-implicative ideals of BCI-algebras. Inform. Sci. 177 (2007) 4987-4996
    • (2007) Inform. Sci. , vol.177 , pp. 4987-4996
    • Liu, Y.L.1    Xu, Y.2    Meng, J.3
  • 23
    • 0036350981 scopus 로고    scopus 로고
    • A non-commutative generalization of MV-algebras
    • Rachůnek J. A non-commutative generalization of MV-algebras. Czech. Math. J. 52 (2002) 255-273
    • (2002) Czech. Math. J. , vol.52 , pp. 255-273
    • Rachůnek, J.1
  • 24
    • 33846433337 scopus 로고    scopus 로고
    • Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures
    • Rachůnek J., and Slezák V. Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures. Math. Slovaca 56 (2006) 223-233
    • (2006) Math. Slovaca , vol.56 , pp. 223-233
    • Rachůnek, J.1    Slezák, V.2
  • 25
    • 0010106191 scopus 로고
    • Dually residuated lattice ordered semigroups
    • Swamy K.L.N. Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965) 105-114
    • (1965) Math. Ann. , vol.159 , pp. 105-114
    • Swamy, K.L.N.1
  • 26
    • 33847312865 scopus 로고    scopus 로고
    • Nontrivial BCK/BCI-algebras do not satisfy the fuzzy ascending chain condition
    • Walendziak A. Nontrivial BCK/BCI-algebras do not satisfy the fuzzy ascending chain condition. Fuzzy Sets Syst. 158 (2007) 922-923
    • (2007) Fuzzy Sets Syst. , vol.158 , pp. 922-923
    • Walendziak, A.1
  • 27
    • 33750706871 scopus 로고    scopus 로고
    • TL-filters of integral residuated ℓ-monoids
    • Wang Y. TL-filters of integral residuated ℓ-monoids. Inform. Sci. 177 (2007) 887-896
    • (2007) Inform. Sci. , vol.177 , pp. 887-896
    • Wang, Y.1
  • 28
    • 18144388681 scopus 로고    scopus 로고
    • Toward a generalized theory of uncertainty (GTU) - an outline
    • Zadeh L.A. Toward a generalized theory of uncertainty (GTU) - an outline. Inform. Sci. 172 (2005) 1-40
    • (2005) Inform. Sci. , vol.172 , pp. 1-40
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.