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Volumn 48, Issue 1, 2005, Pages 1-14

A unified approximate reasoning theory suitable for both propositional calculus system ℒ* and predicate calculus system κ*

Author keywords

Approximate reasoning; Complete theorem; Hilbert cube of type R0; Metric lindenbaum algebra of type R0; Metric R0 algebra

Indexed keywords


EID: 33746339930     PISSN: 10092757     EISSN: None     Source Type: Journal    
DOI: 10.1360/04yf0094     Document Type: Article
Times cited : (8)

References (26)
  • 9
    • 0008786610 scopus 로고    scopus 로고
    • A model of reasoning about knowledge
    • Lu, R. Q., Ying, M. S., A model of reasoning about knowledge. Science in China, Ser. E, 1998, 41(5): 527-534.
    • (1998) Science in China, Ser. E , vol.41 , Issue.5 , pp. 527-534
    • Lu, R.Q.1    Ying, M.S.2
  • 10
    • 23844503705 scopus 로고    scopus 로고
    • Special issue on combining probability and logic
    • Williamson, J., Gabbay, D., Special issue on combining probability and logic, J. Applied Logic, 2003, 1(1-2): 135-138.
    • (2003) J. Applied Logic , vol.1 , Issue.1-2 , pp. 135-138
    • Williamson, J.1    Gabbay, D.2
  • 11
    • 34250481936 scopus 로고
    • The logic of inexact concepts
    • Goguen, J. A., The logic of inexact concepts, Syntheses, 1968/69, 19(3): 325-373.
    • (1968) Syntheses , vol.19 , Issue.3 , pp. 325-373
    • Goguen, J.A.1
  • 13
    • 21844523011 scopus 로고
    • A logic for approximate reasoning
    • Ying, M. S., A logic for approximate reasoning, J. Symbolic Logic, 1994, 59(3): 830-837.
    • (1994) J. Symbolic Logic , vol.59 , Issue.3 , pp. 830-837
    • Ying, M.S.1
  • 14
    • 0345795700 scopus 로고    scopus 로고
    • Theory of truth degrees of propositions in two valued prepositional logic
    • Wang, G. J., Fu, L., Song, J. S., Theory of truth degrees of propositions in two valued prepositional logic, Science in China, Ser. A, 2002, 45(9): 1106-1116.
    • (2002) Science in China, Ser. A , vol.45 , Issue.9 , pp. 1106-1116
    • Wang, G.J.1    Fu, L.2    Song, J.S.3
  • 17
    • 33746397015 scopus 로고    scopus 로고
    • Metric Boolean algebras and its applications in prepositional logic
    • Wang, G. J., Song, Q. Y., Song, Y. J., Metric Boolean algebras and its applications in prepositional logic, Acta Mathematica Sinica (in Chinese), 2004, 74(2): 317-326.
    • (2004) Acta Mathematica Sinica (in Chinese) , vol.74 , Issue.2 , pp. 317-326
    • Wang, G.J.1    Song, Q.Y.2    Song, Y.J.3
  • 18
    • 0037449120 scopus 로고    scopus 로고
    • Integrated semantics and logic metric spaces
    • Wang, G. J., Leung, Y., Integrated semantics and logic metric spaces, Fuzzy Sets and Systems, 2003, 136(1): 71-91.
    • (2003) Fuzzy Sets and Systems , vol.136 , Issue.1 , pp. 71-91
    • Wang, G.J.1    Leung, Y.2
  • 19
    • 0010118792 scopus 로고    scopus 로고
    • A formal deduction system for fuzzy prepositional calculus
    • Wang, G. J., A formal deduction system for fuzzy prepositional calculus, Chinese Science Bulletin, 1997, 42(10): 1041-1045.
    • (1997) Chinese Science Bulletin , vol.42 , Issue.10 , pp. 1041-1045
    • Wang, G.J.1
  • 20
    • 0038215504 scopus 로고    scopus 로고
    • The completeness and applications of the formal system ℒ*
    • Pei, D. W., Wang, G. J., The completeness and applications of the formal system ℒ*, Science in China, Ser. F, 2002, 45(1): 40-50.
    • (2002) Science in China, Ser. F , vol.45 , Issue.1 , pp. 40-50
    • Pei, D.W.1    Wang, G.J.2
  • 21
    • 0037449122 scopus 로고    scopus 로고
    • A triangular-norm-based prepositional fuzzy logic
    • Wang, S. M., Wang, B. S., Wang, G. J., A triangular-norm-based prepositional fuzzy logic, Fuzzy Sets and Systems, 2003, 136(1): 55-70.
    • (2003) Fuzzy Sets and Systems , vol.136 , Issue.1 , pp. 55-70
    • Wang, S.M.1    Wang, B.S.2    Wang, G.J.3
  • 22
    • 33746330572 scopus 로고    scopus 로고
    • The first order system κ* and its completeness
    • Pei, D. W., The first order system κ* and its completeness, Chinese Annals of Mathematics (A) (in Chinese), 2002, 23(6): 675-684.
    • (2002) Chinese Annals of Mathematics (A) (in Chinese) , vol.23 , Issue.6 , pp. 675-684
    • Pei, D.W.1
  • 23
    • 0038148232 scopus 로고    scopus 로고
    • A triangular norm-based fuzzy predicate logic
    • Wang, S. M., Wang, B. S., Wang, G. J., A triangular norm-based fuzzy predicate logic, Fuzzy Sets and Systems, 2003, 138(2): 177-186.
    • (2003) Fuzzy Sets and Systems , vol.138 , Issue.2 , pp. 177-186
    • Wang, S.M.1    Wang, B.S.2    Wang, G.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.