메뉴 건너뛰기




Volumn 180, Issue 19, 2010, Pages 3764-3780

Rough implication operator based on strong topological rough algebras

Author keywords

Rough implication; Rough logic system rsl; Strong topological rough algebra; Topological de morgan algebra; Ukasiewicz logic system ; Ulk;

Indexed keywords

ALGEBRA; GEOMETRY; TOPOLOGY;

EID: 77958457896     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2010.05.017     Document Type: Article
Times cited : (28)

References (41)
  • 3
    • 84972582671 scopus 로고
    • A certain conception of the caculus of rough sets
    • Z. Bonikowski, A certain conception of the caculus of rough sets, Notre Dame Journal of Formal Logic 33 (1992) 412-421.
    • (1992) Notre Dame Journal of Formal Logic , vol.33 , pp. 412-421
    • Bonikowski, Z.1
  • 6
    • 0007425892 scopus 로고
    • On rough sets in topological Boolean algebras
    • W.P. Ziarko (Ed.), Springer-Verlag, London
    • M. Chuchro, On rough sets in topological Boolean algebras, in: W.P. Ziarko (Ed.), Rough Sets, Fuzzy Sets and Knowledge Discovery, Springer-Verlag, London, 1994, pp. 157-160.
    • (1994) Rough Sets, Fuzzy Sets and Knowledge Discovery , pp. 157-160
    • Chuchro, M.1
  • 10
    • 33845317927 scopus 로고    scopus 로고
    • Rough relation algebras revisited
    • I. Dütsch, M. Winter, Rough relation algebras revisited, Fundamenta lnformaticae 74 (2, 3) (2006) 283-300.
    • (2006) Fundamenta Lnformaticae , vol.74 , Issue.2-3 , pp. 283-300
    • Dütsch, I.1    Winter, M.2
  • 11
    • 0042404641 scopus 로고    scopus 로고
    • On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm-based logic
    • F. Esteva, J. Gispert, L. Godo, F. Montagna, On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm-based logic, Studia Logica 71 (2002) 393-420.
    • (2002) Studia Logica , vol.71 , pp. 393-420
    • Esteva, F.1    Gispert, J.2    Godo, L.3    Montagna, F.4
  • 12
    • 0042404641 scopus 로고    scopus 로고
    • On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic
    • F. Esteva, J. Gispert, L. Godo, et al, On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic, Studia Logica 71 (2) (2002) 199-226.
    • (2002) Studia Logica , vol.71 , Issue.2 , pp. 199-226
    • Esteva, F.1    Gispert, J.2    Godo, L.3
  • 13
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm-based logic: Towards a logic for left-continuous t-norms
    • F. Esteva, L. Godo, Monoidal t-norm-based logic: towards a logic for left-continuous t-norms, Fuzzy Sets and Systems 124 (2001) 271-288.
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 14
    • 0011001823 scopus 로고
    • Undecidability of some topological theories
    • A. Gregorczyk, Undecidability of some topological theories, Fundamenta Mathematicae 38 (1951) 137-152.
    • (1951) Fundamenta Mathematicae , vol.38 , pp. 137-152
    • Gregorczyk, A.1
  • 16
    • 69049088689 scopus 로고    scopus 로고
    • Topological de Morgan algebras and Kleen-Stone algebras
    • C.W. Luo, Topological De Morgan algebras and Kleen-Stone algebras, Fuzzy Sets and Systems 8 (2) (2000) 267-272.
    • (2000) Fuzzy Sets and Systems , vol.8 , Issue.2 , pp. 267-272
    • Luo, C.W.1
  • 18
    • 38249015498 scopus 로고
    • Topological soft algebra and its application
    • A. Nakamura, Topological soft algebra and its application, Fuzzy Sets and Systems 46 (1992) 273-280.
    • (1992) Fuzzy Sets and Systems , vol.46 , pp. 273-280
    • Nakamura, A.1
  • 22
    • 33749668975 scopus 로고    scopus 로고
    • Rough sets and Boolean reasoning
    • Z. Pawlak, A. Skowron, Rough sets and Boolean reasoning, Information Sciences 177 (2007) 41-73.
    • (2007) Information Sciences , vol.177 , pp. 41-73
    • Pawlak, Z.1    Skowron, A.2
  • 23
    • 18844409155 scopus 로고    scopus 로고
    • Rough operators on Boolean algebras
    • G.L. O.J, W.R. Liu, Rough operators on Boolean algebras, Information Science 173 (1-3) (2005) 49-63.
    • (2005) Information Science , vol.173 , Issue.1-3 , pp. 49-63
    • Liu, W.R.1
  • 24
    • 12344322622 scopus 로고    scopus 로고
    • Rough set algebra and lattice implication algebra
    • K.Y. Qin, W.B. Tu, Rough set algebra and lattice implication algebra, Journal of Southwest Jiaotong University 39 (6) (2004) 754-757.
    • (2004) Journal of Southwest Jiaotong University , vol.39 , Issue.6 , pp. 754-757
    • Qin, K.Y.1    Tu, W.B.2
  • 25
    • 39749193092 scopus 로고    scopus 로고
    • Triangle algebras: A formal logic approach to interval-valued residuated lattices
    • B. Van Gasse, C. Cornells, G. Deschrijver, E.E. Kerre, Triangle algebras: a formal logic approach to interval-valued residuated lattices, Fuzzy Sets and Systems 159 (2008) 1042-1060.
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1042-1060
    • Van Gasse, B.1    Cornells, C.2    Deschrijver, G.3    Kerre, E.E.4
  • 27
    • 33745065266 scopus 로고    scopus 로고
    • Automated deduction techniques for studying rough algebras
    • L. Vigneron, Automated deduction techniques for studying rough algebras, Fundamenta lnformaticae 33 (1) (1998) 85-103.
    • (1998) Fundamenta Lnformaticae , vol.33 , Issue.1 , pp. 85-103
    • Vigneron, L.1
  • 32
    • 77958470541 scopus 로고    scopus 로고
    • Rough algebras and automated deduction
    • Springer-Verlag
    • A. Wasilewska, L. Vigneron, Rough algebras and automated deduction, Rough Sets in Knowledge Discovery, vol. 1, Springer-Verlag, 1998. pp. 261-275.
    • (1998) Rough Sets in Knowledge Discovery , vol.1 , pp. 261-275
    • Wasilewska, A.1    Vigneron, L.2
  • 33
    • 0001375356 scopus 로고    scopus 로고
    • Two views of the theory of rough sets in finite universes
    • Y.Y. Yao, Two views of the theory of rough sets in finite universes, International Journal of Approximation Reasoning 15 (4) (1996) 291-317.
    • (1996) International Journal of Approximation Reasoning , vol.15 , Issue.4 , pp. 291-317
    • Yao, Y.Y.1
  • 34
    • 0032142371 scopus 로고    scopus 로고
    • Constructive and algebraic methods of the theory of rough sets
    • Y.Y. Yao, Constructive and algebraic methods of the theory of rough sets, Information Sciences 109 (1-4) (1998) 21-47.
    • (1998) Information Sciences , vol.109 , Issue.1-4 , pp. 21-47
    • Yao, Y.Y.1
  • 41
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • William Zhu, Fei-Yue Wang, Reduction and axiomization of covering generalized rough sets, Information Sciences 152 (2003) 217-230.
    • (2003) Information Sciences , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.