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Volumn 178, Issue 19, 2008, Pages 3738-3754

Some kinds of (∈, ∈ ∨ q)-interval-valued fuzzy ideals of BCI-algebras

Author keywords

(Positive implicative, implicative and commutative) ( , q) interval valued fuzzy ideal; (Positive implicative, implicative and commutative) (over( , ), over( , ) over(q, )) interval valued fuzzy ideal; (Positive implicative, implicative and commutative) ideal; BCI algebra

Indexed keywords

ALGEBRA; FUZZY SETS; SET THEORY; TURBULENT FLOW;

EID: 47849123296     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.06.006     Document Type: Article
Times cited : (50)

References (52)
  • 1
    • 0347110861 scopus 로고    scopus 로고
    • (∈, ∈ ∨ q)-fuzzy normal, quasinormal and maximal subgroups
    • Bhakat S.K. (∈, ∈ ∨ q)-fuzzy normal, quasinormal and maximal subgroups. Fuzzy Sets Syst. 112 (2000) 299-312
    • (2000) Fuzzy Sets Syst. , vol.112 , pp. 299-312
    • Bhakat, S.K.1
  • 2
    • 0038251067 scopus 로고    scopus 로고
    • (∈, ∈ ∨ q)-fuzzy subgroups
    • Bhakat S.K., and Das P. (∈, ∈ ∨ q)-fuzzy subgroups. Fuzzy Sets Syst. 80 (1996) 359-368
    • (1996) Fuzzy Sets Syst. , vol.80 , pp. 359-368
    • Bhakat, S.K.1    Das, P.2
  • 3
    • 0028407959 scopus 로고
    • Rosenfeld's fuzzy subgroups with interval-valued membership functions
    • Biswas R. Rosenfeld's fuzzy subgroups with interval-valued membership functions. Fuzzy Sets Syst. 63 (1994) 87-90
    • (1994) Fuzzy Sets Syst. , vol.63 , pp. 87-90
    • Biswas, R.1
  • 4
    • 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
  • 5
    • 29444431892 scopus 로고    scopus 로고
    • (∈, ∈ ∨ q)-fuzzy subnear-rings and ideals
    • Davvaz B. (∈, ∈ ∨ q)-fuzzy subnear-rings and ideals. Soft Comput. 10 (2006) 206-211
    • (2006) Soft Comput. , vol.10 , pp. 206-211
    • Davvaz, B.1
  • 6
    • 33750686902 scopus 로고    scopus 로고
    • v-submodules and many valued implications
    • v-submodules and many valued implications. Inform. Sci. 177 (2007) 865-875
    • (2007) Inform. Sci. , vol.177 , pp. 865-875
    • Davvaz, B.1    Corsini, P.2
  • 7
    • 47849102797 scopus 로고    scopus 로고
    • On group-like BCI-algebras
    • Dudek W.A. On group-like BCI-algebras. Demonstratio Math. 21 (1998) 369-376
    • (1998) Demonstratio Math. , vol.21 , pp. 369-376
    • Dudek, W.A.1
  • 8
    • 17844379029 scopus 로고
    • On decompositions of BCH-algebras
    • Dudek W.A., and Thomys J. On decompositions of BCH-algebras. Math. Japon. 35 (1990) 1131-1138
    • (1990) Math. Japon. , vol.35 , pp. 1131-1138
    • Dudek, W.A.1    Thomys, J.2
  • 9
    • 34247507226 scopus 로고    scopus 로고
    • Arithmetic operators in interval-valued fuzzy theory
    • Deschrijver G. Arithmetic operators in interval-valued fuzzy theory. Inform. Sci. 177 (2007) 2906-2924
    • (2007) Inform. Sci. , vol.177 , pp. 2906-2924
    • Deschrijver, G.1
  • 10
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm based logic: towards a logic for left-continuous t-norms
    • Esteva F., and Godo L. Monoidal t-norm based logic: towards a logic for left-continuous t-norms. Fuzzy Sets Syst. 124 (2001) 271-288
    • (2001) Fuzzy Sets Syst. , vol.124 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 12
    • 0002002333 scopus 로고
    • On axiom system of propositional calculus
    • Imai Y., and Iséki K. On axiom system of propositional calculus. Proc. Jpn. Acad. 42 (1966) 19-22
    • (1966) Proc. Jpn. Acad. , vol.42 , pp. 19-22
    • Imai, Y.1    Iséki, K.2
  • 13
    • 17444382485 scopus 로고    scopus 로고
    • Some direct ascendents of Wajsberg and MV algebras
    • Iorgulescu A. Some direct ascendents of Wajsberg and MV algebras. Sci. Math. Japon. 57 (2003) 583-647
    • (2003) Sci. Math. Japon. , vol.57 , pp. 583-647
    • Iorgulescu, A.1
  • 14
    • 22444442990 scopus 로고    scopus 로고
    • Pseudo-Iseki algebras. Connection with pseudo-BL algebras
    • Iorgulescu A. Pseudo-Iseki algebras. Connection with pseudo-BL algebras. Multiple-Valued Logic Soft Comput. 11 (2005) 263-308
    • (2005) Multiple-Valued Logic Soft Comput. , vol.11 , pp. 263-308
    • Iorgulescu, A.1
  • 15
    • 0000984431 scopus 로고
    • An algebra related with a propositional calculus
    • Iséki K. An algebra related with a propositional calculus. Proc. Jpn. Acad. 42 (1966) 26-29
    • (1966) Proc. Jpn. Acad. , vol.42 , pp. 26-29
    • Iséki, K.1
  • 17
    • 0011610983 scopus 로고
    • Ideal theory of BCK-algebras
    • Iséki K., and Tanaka S. Ideal theory of BCK-algebras. Math. Japon. 21 (1966) 351-366
    • (1966) Math. Japon. , vol.21 , pp. 351-366
    • Iséki, K.1    Tanaka, S.2
  • 18
    • 0002665895 scopus 로고
    • An introduction to the theory of BCK-algebras
    • Iséki K., and Tanaka S. An introduction to the theory of BCK-algebras. Math. Japon. 23 (1978) 1-26
    • (1978) Math. Japon. , vol.23 , pp. 1-26
    • Iséki, K.1    Tanaka, S.2
  • 19
    • 27944434593 scopus 로고    scopus 로고
    • Interval-valued fuzzy subalgebras/ideals in BCK-algebras
    • Jun Y.B. Interval-valued fuzzy subalgebras/ideals in BCK-algebras. Sci. Math. 3 (2000) 435-444
    • (2000) Sci. Math. , vol.3 , pp. 435-444
    • Jun, Y.B.1
  • 20
    • 47849095733 scopus 로고    scopus 로고
    • Interval-valued fuzzy ideals in BCI-algebras
    • Jun Y.B. Interval-valued fuzzy ideals in BCI-algebras. J. Fuzzy Math. 9 (2001) 807-814
    • (2001) J. Fuzzy Math. , vol.9 , pp. 807-814
    • Jun, Y.B.1
  • 21
    • 47849130391 scopus 로고    scopus 로고
    • On (α, β)-fuzzy ideals of BCK/BCI-algebras
    • Jun Y.B. On (α, β)-fuzzy ideals of BCK/BCI-algebras. Sci. Math. Japon. 60 (2004) 613-617
    • (2004) Sci. Math. Japon. , vol.60 , pp. 613-617
    • Jun, Y.B.1
  • 22
    • 44149110047 scopus 로고    scopus 로고
    • On (α, β)-fuzzy subalgebras of BCK/BCI-algebras
    • Jun Y.B. On (α, β)-fuzzy subalgebras of BCK/BCI-algebras. Bull. Korean Math. Soc. 42 (2005) 703-711
    • (2005) Bull. Korean Math. Soc. , vol.42 , pp. 703-711
    • Jun, Y.B.1
  • 23
    • 34548529970 scopus 로고    scopus 로고
    • On transfer principle in fuzzy BCK/BCI-algebras
    • Jun Y.B., and Kondo M. On transfer principle in fuzzy BCK/BCI-algebras. Sci. Math. Japon. 59 (2004) 35-40
    • (2004) Sci. Math. Japon. , vol.59 , pp. 35-40
    • Jun, Y.B.1    Kondo, M.2
  • 24
    • 0004394663 scopus 로고
    • Fuzzy commutative ideals in BCI-algebras
    • Jun Y.B., and Meng J. Fuzzy commutative ideals in BCI-algebras. Comm. Korean Math. Soc. 9 (1994) 19-25
    • (1994) Comm. Korean Math. Soc. , vol.9 , pp. 19-25
    • Jun, Y.B.1    Meng, J.2
  • 25
    • 34547784501 scopus 로고    scopus 로고
    • Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings
    • Jun Y.B., Özturk M.A., and Park C.H. Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings. Inform. Sci. 117 (2007) 4662-4677
    • (2007) Inform. Sci. , vol.117 , pp. 4662-4677
    • Jun, Y.B.1    Özturk, M.A.2    Park, C.H.3
  • 26
    • 40849146970 scopus 로고    scopus 로고
    • Applications of soft sets in ideal theory of BCK/BCI-algebras
    • Jun Y.B., and Park C.H. Applications of soft sets in ideal theory of BCK/BCI-algebras. Inform. Sci. 178 (2008) 2466-2475
    • (2008) Inform. Sci. , vol.178 , pp. 2466-2475
    • Jun, Y.B.1    Park, C.H.2
  • 27
    • 13244252509 scopus 로고    scopus 로고
    • Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras
    • Jun Y.B., and Shim W.H. Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras. Inform. Sci. 170 (2005) 351-361
    • (2005) Inform. Sci. , vol.170 , pp. 351-361
    • Jun, Y.B.1    Shim, W.H.2
  • 28
    • 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
  • 29
    • 34548237903 scopus 로고    scopus 로고
    • FSI-ideals and FSC-ideals of BCI-algebras
    • Liu Y.L., Liu S.Y., and Meng J. FSI-ideals and FSC-ideals of BCI-algebras. Bull. Korean Math. Soc. 41 (2004) 167-179
    • (2004) Bull. Korean Math. Soc. , vol.41 , pp. 167-179
    • Liu, Y.L.1    Liu, S.Y.2    Meng, J.3
  • 30
    • 33747615064 scopus 로고    scopus 로고
    • Pseudo-BCK algebras and PD-posets
    • Liu Y.L., Liu S.Y., and Xu Y. Pseudo-BCK algebras and PD-posets. Soft Comput. 11 1 (2007) 91-101
    • (2007) Soft Comput. , vol.11 , Issue.1 , pp. 91-101
    • Liu, Y.L.1    Liu, S.Y.2    Xu, Y.3
  • 31
    • 0035900024 scopus 로고    scopus 로고
    • Fuzzy ideals in BCI-algebras
    • Liu Y.L., and Meng J. Fuzzy ideals in BCI-algebras. Fuzzy Sets Syst. 123 (2001) 227-237
    • (2001) Fuzzy Sets Syst. , vol.123 , pp. 227-237
    • Liu, Y.L.1    Meng, J.2
  • 32
    • 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
  • 33
    • 0004362914 scopus 로고
    • An ideal characterization of commutative BCI-algebras
    • Meng J. An ideal characterization of commutative BCI-algebras. Pusan Kyongnam Math. J. 9 1 (1993) 1-6
    • (1993) Pusan Kyongnam Math. J. , vol.9 , Issue.1 , pp. 1-6
    • Meng, J.1
  • 34
    • 10444290640 scopus 로고    scopus 로고
    • On fuzzy ideals in BCK-algebras
    • Meng J., and Guo X. On fuzzy ideals in BCK-algebras. Fuzzy Sets Syst. 149 (2005) 509-525
    • (2005) Fuzzy Sets Syst. , vol.149 , pp. 509-525
    • Meng, J.1    Guo, X.2
  • 35
    • 0004278520 scopus 로고
    • Kyung Moon Sa Co., Seoul, Korean
    • Meng J., and Jun Y.B. BCK-Algebras (1994), Kyung Moon Sa Co., Seoul, Korean
    • (1994) BCK-Algebras
    • Meng, J.1    Jun, Y.B.2
  • 36
    • 0004362660 scopus 로고
    • Implicative BCI-algebras
    • Chinese
    • Meng J., and Xin X.L. Implicative BCI-algebras. Pure Appl. Math. 8 2 (1992) 99-103 Chinese
    • (1992) Pure Appl. Math. , vol.8 , Issue.2 , pp. 99-103
    • Meng, J.1    Xin, X.L.2
  • 37
    • 0004425222 scopus 로고
    • Positive implicative BCI-algebras
    • Chinese
    • Meng J., and Xin X.L. Positive implicative BCI-algebras. Pure Appl. Math. 9 1 (1993) 19-22 Chinese
    • (1993) Pure Appl. Math. , vol.9 , Issue.1 , pp. 19-22
    • Meng, J.1    Xin, X.L.2
  • 38
    • 1642456208 scopus 로고
    • Commutative BCI-algebras
    • Meng J., and Xin X.L. Commutative BCI-algebras. Math. Japon. 37 (1992) 569-572
    • (1992) Math. Japon. , vol.37 , pp. 569-572
    • Meng, J.1    Xin, X.L.2
  • 39
    • 0001494367 scopus 로고
    • MV algebras are categorically equivalent to bounded commutative BCK-algebras
    • Mundici D. MV algebras are categorically equivalent to bounded commutative BCK-algebras. Math. Japon. 31 (1986) 889-894
    • (1986) Math. Japon. , vol.31 , pp. 889-894
    • Mundici, D.1
  • 40
    • 85025771512 scopus 로고
    • Fuzzy topology I: neighourhood structure of a fuzzy point and Moore-Smith convergence
    • Pu P.M., and Liu Y.M. Fuzzy topology I: neighourhood structure of a fuzzy point and Moore-Smith convergence. J. Math. Anal. Appl. 76 (1980) 571-599
    • (1980) J. Math. Anal. Appl. , vol.76 , pp. 571-599
    • Pu, P.M.1    Liu, Y.M.2
  • 41
    • 0000102227 scopus 로고
    • Fuzzy BCK-algebras
    • Xi O.G. Fuzzy BCK-algebras. Math. Japon. 36 (1991) 935-942
    • (1991) Math. Japon. , vol.36 , pp. 935-942
    • Xi, O.G.1
  • 42
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh L.A. Fuzzy sets. Inform. Contr. 8 (1965) 338-353
    • (1965) Inform. Contr. , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 43
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reason I
    • Zadeh L.A. The concept of a linguistic variable and its application to approximate reason I. Inform. Sci. 8 (1975) 199-249
    • (1975) Inform. Sci. , vol.8 , pp. 199-249
    • Zadeh, L.A.1
  • 44
    • 18144388681 scopus 로고    scopus 로고
    • Toward a generalized theory of uncertainty (GTU)-an outine
    • Zadeh L.A. Toward a generalized theory of uncertainty (GTU)-an outine. Inform. Sci. 172 (2005) 1-40
    • (2005) Inform. Sci. , vol.172 , pp. 1-40
    • Zadeh, L.A.1
  • 45
    • 33646194382 scopus 로고    scopus 로고
    • Relationship between similarity measure and entropy of interval-valued fuzzy set
    • Zeng W., and Li H. Relationship between similarity measure and entropy of interval-valued fuzzy set. Fuzzy Sets Syst. 157 (2006) 1477-1484
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 1477-1484
    • Zeng, W.1    Li, H.2
  • 46
    • 35348967957 scopus 로고    scopus 로고
    • A new view of fuzzy hypernear-rings
    • Zhan J., Davvaz B., and Shum K.P. A new view of fuzzy hypernear-rings. Inform. Sci. 178 (2008) 425-438
    • (2008) Inform. Sci. , vol.178 , pp. 425-438
    • Zhan, J.1    Davvaz, B.2    Shum, K.P.3
  • 47
    • 33750713988 scopus 로고    scopus 로고
    • Fuzzy h-ideals of hemirings
    • Zhan J., and Dudek W.A. Fuzzy h-ideals of hemirings. Inform. Sci. 117 (2007) 876-886
    • (2007) Inform. Sci. , vol.117 , pp. 876-886
    • Zhan, J.1    Dudek, W.A.2
  • 48
    • 27944470614 scopus 로고    scopus 로고
    • On f-derivation of BCI-algebras
    • Zhan J., and Liu Y.L. On f-derivation of BCI-algebras. Int. J. Math. Math. Sci. 2005 11 (2005) 1675-1684
    • (2005) Int. J. Math. Math. Sci. , vol.2005 , Issue.11 , pp. 1675-1684
    • Zhan, J.1    Liu, Y.L.2
  • 49
    • 17844378175 scopus 로고    scopus 로고
    • T-fuzzy multiply positive implicative BCC-algebras
    • Zhan J., and Tan Z. T-fuzzy multiply positive implicative BCC-algebras. Int. J. Math. Math. Sci. 42 (2003) 2653-2665
    • (2003) Int. J. Math. Math. Sci. , vol.42 , pp. 2653-2665
    • Zhan, J.1    Tan, Z.2
  • 50
    • 47849109889 scopus 로고    scopus 로고
    • M-fuzzy BCK/BCI-algebras
    • Zhan J., and Tan Z. M-fuzzy BCK/BCI-algebras. J. Fuzzy Math. 12 2 (2004) 451-460
    • (2004) J. Fuzzy Math. , vol.12 , Issue.2 , pp. 451-460
    • Zhan, J.1    Tan, Z.2
  • 51
    • 47849119581 scopus 로고    scopus 로고
    • Fuzzy H-ideals in BCK-algebras
    • Zhan J., and Tan Z. Fuzzy H-ideals in BCK-algebras. SEA Bull. Math. 29 (2005) 1165-1173
    • (2005) SEA Bull. Math. , vol.29 , pp. 1165-1173
    • Zhan, J.1    Tan, Z.2
  • 52
    • 17844365816 scopus 로고    scopus 로고
    • Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras
    • Zhan J., Xiang D., and Tan Z. Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras. Int. J. Math. Math. Sci. 24 (2004) 1239-1253
    • (2004) Int. J. Math. Math. Sci. , vol.24 , pp. 1239-1253
    • Zhan, J.1    Xiang, D.2    Tan, Z.3


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