메뉴 건너뛰기




Volumn 18, Issue 2, 2010, Pages 285-298

On the suitability of the Bandler-Kohout subproduct as an inference mechanism

Author keywords

Bandler Kohout (BK) subproduct; Compositional rule of inference (CRI); Correctness and continuity of inference; Fuzzy relational equations; Fuzzy relational inference (FRI) systems; Hierarchical CRI

Indexed keywords

APPROXIMATE REASONING; COMPOSITIONAL RULE OF INFERENCES; FUZZY RELATIONAL EQUATIONS; INDISTINGUISHABILITY; INFERENCE MECHANISM;

EID: 77950669095     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2041007     Document Type: Article
Times cited : (71)

References (55)
  • 1
    • 0015558134 scopus 로고
    • Outline of a new approach to the analysis of complex systems and decision processes
    • Jan.
    • L. A. Zadeh, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. Syst., Man, Cybern., vol.SMC-3, no.1, pp. 28-44, Jan. 1973.
    • (1973) IEEE Trans. Syst., Man, Cybern. , vol.SMC-3 , Issue.1 , pp. 28-44
    • Zadeh, L.A.1
  • 2
    • 34250675680 scopus 로고    scopus 로고
    • An abstract approach toward the evaluation of fuzzy rule systems
    • P. P. Wang, D. Ruan, and E. E. Kerre, Eds. Berlin, Germany: Springer-Verlag
    • S. Gottwald, "An abstract approach toward the evaluation of fuzzy rule systems," in Fuzzy Logic. A Spectrum of Theoretical and Practical Issues (Studies in Fuzzines and Soft Computing), P. P. Wang, D. Ruan, and E. E. Kerre, Eds. Berlin, Germany: Springer-Verlag, 2007, pp. 281- 297.
    • (2007) Fuzzy Logic. A Spectrum of Theoretical and Practical Issues (Studies in Fuzzines and Soft Computing) , pp. 281-297
    • Gottwald, S.1
  • 3
    • 50249185144 scopus 로고    scopus 로고
    • On a generalization of fuzzy relation equations
    • Paris, France
    • S. Gottwald, "On a generalization of fuzzy relation equations," in Proc. 11th IPMU Conf., Paris, France, 2006, pp. 2572-2577.
    • (2006) Proc. 11th IPMU Conf. , pp. 2572-2577
    • Gottwald, S.1
  • 4
    • 0024112655 scopus 로고
    • An Approximate reasoning schema based on similarity measures and interval valued fuzzy sets
    • Nov./Dec.
    • I. B. Turksen and Z. Zhong, "An Approximate reasoning schema based on similarity measures and interval valued fuzzy sets," IEEE Trans. Syst., Man, Cybern., vol.18, no.6, pp. 1049-1056, Nov./Dec. 1988.
    • (1988) IEEE Trans. Syst., Man, Cybern. , vol.18 , Issue.6 , pp. 1049-1056
    • Turksen, I.B.1    Zhong, Z.2
  • 5
    • 0000005070 scopus 로고
    • A new approach to approximate reasoning using fuzzy logic
    • J. F. Baldwin, "A new approach to approximate reasoning using fuzzy logic," Fuzzy Sets Syst., vol.2, pp. 309-325, 1979.
    • (1979) Fuzzy Sets Syst. , vol.2 , pp. 309-325
    • Baldwin, J.F.1
  • 6
    • 0028518151 scopus 로고
    • Patterns of fuzzy rule-based inference
    • V. Cross and T. Sudkamp, "Patterns of fuzzy rule-based inference," Int. J. Approx. Reason., vol.11, pp. 235-255, 1994.
    • (1994) Int. J. Approx. Reason. , vol.11 , pp. 235-255
    • Cross, V.1    Sudkamp, T.2
  • 8
    • 0016451032 scopus 로고
    • An experiment in linguistic synthesis with a fuzzy logic controller
    • E. H. Mamdani and S. Assilian, "An experiment in linguistic synthesis with a fuzzy logic controller," Int. J. Man-Mach. Stud., vol.7, pp. 1-13, 1975.
    • (1975) Int. J. Man-Mach. Stud. , vol.7 , pp. 1-13
    • Mamdani, E.H.1    Assilian, S.2
  • 9
    • 0002441607 scopus 로고
    • Analysis of a fuzzy logic controller
    • W. J.M.Kickert and E. H. Mamdani, "Analysis of a fuzzy logic controller," Fuzzy Sets Syst., vol.1, no.1, pp. 29-44, 1978.
    • (1978) Fuzzy Sets Syst. , vol.1 , Issue.1 , pp. 29-44
    • Kickert, W.J.M.1    Mamdani, E.H.2
  • 10
    • 0018885952 scopus 로고
    • Industrial applications of fuzzy logic control
    • P. M. Larsen, "Industrial applications of fuzzy logic control," Int. J. Man-Mach. Stud., vol.12, pp. 3-10, 1980.
    • (1980) Int. J. Man-Mach. Stud. , vol.12 , pp. 3-10
    • Larsen, P.M.1
  • 11
    • 0031209127 scopus 로고    scopus 로고
    • Checking the coherence and redundancy of fuzzy knowledge bases
    • Aug.
    • D. Dubois, H. Prade, and L. Ughetto, "Checking the coherence and redundancy of fuzzy knowledge bases," IEEE Trans. Fuzzy Syst., vol.5, no.3, pp. 398-417, Aug. 1997.
    • (1997) IEEE Trans. Fuzzy Syst. , vol.5 , Issue.3 , pp. 398-417
    • Dubois, D.1    Prade, H.2    Ughetto, L.3
  • 13
    • 50249147192 scopus 로고    scopus 로고
    • A note on fuzzy inference as deduction
    • D. Dubois, E. P. Klement, and H. Prade, Eds. Dordrecht, The Netherlands: Kluwer
    • L. Godo and P. H́ajek, "A note on fuzzy inference as deduction," in Fuzzy Sets, Logics and Reasoning About Knowledge (Applied Logic Series 15), D. Dubois, E. P. Klement, and H. Prade, Eds. Dordrecht, The Netherlands: Kluwer, 1999, pp. 237-241.
    • (1999) Fuzzy Sets, Logics and Reasoning about Knowledge (Applied Logic Series 15) , pp. 237-241
    • Godo, L.1    H́ajek, P.2
  • 15
    • 50249156547 scopus 로고    scopus 로고
    • A plea for the usefulness of the deductive interpretation of fuzzy rules in engineering applications
    • London, U.K.
    • U. Bodenhofer, M. Dankov́a, M. Stepnicka, and V. Nov́ak, "A plea for the usefulness of the deductive interpretation of fuzzy rules in engineering applications," in Proc. IEEE Int. Conf. Fuzzy Syst., London, U.K., 2007, pp. 1567-1572.
    • (2007) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 1567-1572
    • Bodenhofer, U.1    Dankov́a, M.2    Stepnicka, M.3    Nov́ak, V.4
  • 16
    • 0000571202 scopus 로고    scopus 로고
    • The relation between inference and interpolation in the framework of fuzzy systems
    • F. Klawonn and V. Nov́ak, "The relation between inference and interpolation in the framework of fuzzy systems," Fuzzy Sets Syst., vol.81, no.3, pp. 331-354, 1996.
    • (1996) Fuzzy Sets Syst. , vol.81 , Issue.3 , pp. 331-354
    • Klawonn, F.1    Nov́ak, V.2
  • 17
    • 0030577310 scopus 로고    scopus 로고
    • What are fuzzy rules and how to use them
    • D. Dubois and H. Prade, "What are fuzzy rules and how to use them," Fuzzy Sets Syst., vol.84, pp. 169-185, 1996.
    • (1996) Fuzzy Sets Syst. , vol.84 , pp. 169-185
    • Dubois, D.1    Prade, H.2
  • 18
    • 33644980293 scopus 로고    scopus 로고
    • Logical structure of fuzzy IF-THEN rules
    • DOI 10.1016/j.fss.2006.02.011, PII S0165011406000935
    • V. Nov́ak and S. Lehmke, "Logical structure of fuzzy IF-THEN rules," Fuzzy Sets Syst., vol.157, no.15, pp. 2003-2029, 2006. (Pubitemid 43831202)
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.15 , pp. 2003-2029
    • Novak, V.1    Lehmke, S.2
  • 19
    • 34250773865 scopus 로고    scopus 로고
    • Coherence of radial implicative fuzzy systems
    • DOI 10.1109/FUZZY.2006.1681730, 1681730, 2006 IEEE International Conference on Fuzzy Systems
    • D. Coufal, "Coherence of radial implicative fuzzy systems," in Proc. 15th IEEE Int. Conf. Fuzzy Syst., Vancouver, BC, Canada, 2006, pp. 307-314. (Pubitemid 46948774)
    • (2006) IEEE International Conference on Fuzzy Systems , pp. 307-314
    • Coufal, D.1
  • 23
    • 0022093877 scopus 로고
    • Applications of fuzzy relational equations for methods of reasoning in presence of fuzzy data
    • W. Pedrycz, "Applications of fuzzy relational equations for methods of reasoning in presence of fuzzy data," Fuzzy Sets Syst., vol.16, pp. 163- 175, 1985. (Pubitemid 15528217)
    • (1985) Fuzzy Sets and Systems , vol.16 , Issue.2 , pp. 163-175
    • Pedrycz Witold1
  • 24
    • 0347034719 scopus 로고
    • Fuzzy relational products and fuzzy implication operators
    • presented at ,London, U.K.
    • W. Bandler and L. J. Kohout, "Fuzzy relational products and fuzzy implication operators," presented at the Int. Workshop Fuzzy Reason. Theory Appl., London, U.K., 1978.
    • (1978) The Int. Workshop Fuzzy Reason.Theory Appl.
    • Bandler, W.1    Kohout, L.J.2
  • 25
    • 0018870960 scopus 로고
    • Semantics of implication operators and fuzzy relational products
    • W. Bandler and L. J. Kohout, "Semantics of implication operators and fuzzy relational products," Int. J. Man-Mach. Stud., vol.12, pp. 89-116, 1979. (Pubitemid 10075601)
    • (1980) International Journal of Man-Machine Studies , vol.12 , Issue.1 , pp. 89-116
    • Bandler, W.1    Kohout, L.J.2
  • 26
    • 0002669922 scopus 로고
    • The use of checklist paradigm in inference systems
    • C. V. Negoita and H. Prade, Eds. Koln, Germany: Verlag TÜV Rheinland
    • W. Bandler and L. J. Kohout, "The use of checklist paradigm in inference systems," in Fuzzy Logic in Knowledge Engineering, C. V. Negoita and H. Prade, Eds. Koln, Germany: Verlag TÜV Rheinland, 1986, pp. 95- 111.
    • (1986) Fuzzy Logic in Knowledge Engineering , pp. 95-111
    • Bandler, W.1    Kohout, L.J.2
  • 28
    • 33750836736 scopus 로고    scopus 로고
    • Correct models of fuzzy IF-THEN rules are continuous
    • DOI 10.1016/j.fss.2006.08.002, PII S0165011406003289
    • I. Perfilieva and S. Lehmke, "Correct models of fuzzy IF-THEN rules are continuous," Fuzzy Sets Syst., vol.157, pp. 3188-3197, 2006. (Pubitemid 44712051)
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.24 , pp. 3188-3197
    • Perfilieva, I.1    Lehmke, S.2
  • 30
    • 34249302022 scopus 로고    scopus 로고
    • System of fuzzy relation equations as a continuous model of IF-THEN rules
    • DOI 10.1016/j.ins.2006.11.006, PII S0020025506003495, Mathematical Foundation for Intelligent Technologies (InTech03)
    • I. Perfilieva and V. Nov́ak, "System of fuzzy relation equations as a continuous model of IF-THEN rules," Inf. Sci., vol.177, pp. 3218-3227, 2007. (Pubitemid 46809878)
    • (2007) Information Sciences , vol.177 , Issue.16 , pp. 3218-3227
    • Perfilieva, I.1    Novak, V.2
  • 31
    • 0000995073 scopus 로고
    • Similarity in fuzzy reasoning
    • F. Klawonn and J. L. Castro, "Similarity in fuzzy reasoning," Mathw. Soft Comput., vol.2, pp. 197-228, 1995.
    • (1995) Mathw. Soft Comput. , vol.2 , pp. 197-228
    • Klawonn, F.1    Castro, J.L.2
  • 33
    • 4544303463 scopus 로고    scopus 로고
    • Generalized solvability behaviour for systems of fuzzy equations
    • V. Nov́ak and I. Perfilieva, Eds. Heidelberg, Germany: Springer-Verlag/Physica-Verlag
    • S. Gottwald, "Generalized solvability behaviour for systems of fuzzy equations," in Discovering the World With Fuzzy Logic (Studies in Fuzzines and Soft Computing), V. Nov́ak and I. Perfilieva, Eds. Heidelberg, Germany: Springer-Verlag/Physica-Verlag, 2000, pp. 401-430.
    • (2000) Discovering the World with Fuzzy Logic (Studies in Fuzzines and Soft Computing) , pp. 401-430
    • Gottwald, S.1
  • 34
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • E. Sanchez, "Resolution of composite fuzzy relation equations," Inf. Control, vol.30, pp. 38-48, 1976.
    • (1976) Inf. Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 35
    • 0001634914 scopus 로고    scopus 로고
    • Analytical solution methods for fuzzy relation equations
    • 1, D. Dubois and H. Prade, Eds. Boston, MA: Kluwer
    • B. De Baets, "Analytical solution methods for fuzzy relation equations," in The Handbook of Fuzzy Set Series 1, D. Dubois and H. Prade, Eds. Boston, MA: Kluwer, 2000, pp. 291-340.
    • (2000) The Handbook of Fuzzy Set Series , pp. 291-340
    • De Baets, B.1
  • 36
    • 0038418705 scopus 로고    scopus 로고
    • Fuzzy points, fuzzy relations and fuzzy functions
    • V.Nov́ak and I. Perfilieva, Eds. Heidelberg, Germany: Springer- Verlag/Physica-Verlag
    • F. Klawonn, "Fuzzy points, fuzzy relations and fuzzy functions," in Discovering the World With Fuzzy Logic (Studies in Fuzzines and Soft Computing), V.Nov́ak and I. Perfilieva, Eds. Heidelberg, Germany: Springer- Verlag/Physica-Verlag, 2000, pp. 431-453.
    • (2000) Discovering the World with Fuzzy Logic (Studies in Fuzzines and Soft Computing) , pp. 431-453
    • Klawonn, F.1
  • 38
    • 43949096979 scopus 로고    scopus 로고
    • Systems of fuzzy relation equation with inf-composition: Solvability and solutions
    • L. Noskov́a, "Systems of fuzzy relation equation with inf-composition: Solvability and solutions," J. Electr. Eng., vol.12(s), pp. 69-72, 2005.
    • (2005) J. Electr. Eng. , vol.12 , pp. 69-72
    • Noskov́a, L.1
  • 40
    • 84871989423 scopus 로고    scopus 로고
    • On additive and multiplicative fuzzy models
    • New Dimensions Fuzzy Logic, Related Technol. Ostrava, Czech Republic
    • M.Stepnicka, B. De Baets, and L. Noskov́a, "On additive and multiplicative fuzzy models," in Proc. 5th Int. Conf. Eur. Soc. Fuzzy Logic Technol., vol.2, New Dimensions Fuzzy Logic, Related Technol., Ostrava, Czech Republic, 2007, pp. 95-102.
    • (2007) Proc. 5th Int. Conf. Eur. Soc. Fuzzy Logic Technol. , vol.2 , pp. 95-102
    • Stepnicka, M.1    De Baets, B.2    Noskov́a, L.3
  • 41
    • 40549118876 scopus 로고    scopus 로고
    • On the law of importation (x y) →z (x → (y → z)) in fuzzy logic
    • Feb.
    • B. Jayaram, "On the law of importation (x y) → z (x → (y → z)) in fuzzy logic," IEEE Trans. Fuzzy Syst., vol.16, no.1, pp. 130-144, Feb. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.1 , pp. 130-144
    • Jayaram, B.1
  • 42
    • 0002224541 scopus 로고
    • Fuzzy power sets and fuzzy implication operators
    • W. Bandler and L. J. Kohout, "Fuzzy power sets and fuzzy implication operators," Fuzzy Sets Syst., vol.4, pp. 183-190, 1980.
    • (1980) Fuzzy Sets Syst. , vol.4 , pp. 183-190
    • Bandler, W.1    Kohout, L.J.2
  • 43
    • 49649152119 scopus 로고
    • Similarity relations and fuzzy orderings
    • L. A. Zadeh, "Similarity relations and fuzzy orderings," Inf. Sci., vol.3, pp. 177-200, 1971.
    • (1971) Inf. Sci. , vol.3 , pp. 177-200
    • Zadeh, L.A.1
  • 44
    • 0014534297 scopus 로고
    • A new approach to clustering
    • E. H. Ruspini, "A new approach to clustering," Inf. Control, vol.15, pp. 22-32, 1969.
    • (1969) Inf. Control , vol.15 , pp. 22-32
    • Ruspini, E.H.1
  • 45
    • 34247403600 scopus 로고    scopus 로고
    • Efficient approximate reasoning with positive and negative information
    • Lecture Notes in Artificial Intelligence,M. G. Negoita, R. J. Howlett, and L. C. Jain, Eds. Berlin, Germany: Springer-Verlag
    • C. Cornelis M. DeCock, and E. E. Kerre, "Efficient approximate reasoning with positive and negative information," in Knowledge-Based Intelligent Information and Engineering Systems (Lecture Notes in Artificial Intelligence, vol. 3214), M. G. Negoita, R. J. Howlett, and L. C. Jain, Eds. Berlin, Germany: Springer-Verlag, 2004, pp. 779-785.
    • (2004) Knowledge-Based Intelligent Information and Engineering Systems , vol.3214 , pp. 779-785
    • Cornelis M Decock, C.1    Kerre, E.E.2
  • 46
    • 16444376546 scopus 로고
    • A fast generalized modus ponens
    • R. Martin-Clouaire, "A fast generalized modus ponens," BUSEFAL, vol.18, pp. 75-82, 1984.
    • (1984) BUSEFAL , vol.18 , pp. 75-82
    • Martin-Clouaire, R.1
  • 47
    • 0026976526 scopus 로고
    • Rule break up with compositional rule of inference
    • San Diego, CA
    • K. Demirli and I. B. T̈urksen, "Rule break up with compositional rule of inference," in Proc. IEEE Int. Conf. Fuzzy Syst., San Diego, CA, 1992, pp. 749-756.
    • (1992) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 749-756
    • Demirli, K.1    T̈urksen, I.B.2
  • 49
    • 77950679718 scopus 로고
    • The compositional rule of inference with several relations
    • Liptovsḱy, Mikuĺas, Slovakia
    • R. Fulĺer and B. Werners, "The compositional rule of inference with several relations," in Proc. Int. Conf. Fuzzy Sets, Its Appl., Liptovsḱy, Mikuĺa's, Slovakia, 1992, pp. 39-44.
    • (1992) Proc. Int. Conf. Fuzzy Sets, Its Appl. , pp. 39-44
    • Fulĺer, R.1    Werners, B.2
  • 50
    • 38249010199 scopus 로고
    • On computation of the compositional rule of inference under triangular norms
    • R. Fulĺer and H.-J. Zimmermann, "On computation of the compositional rule of inference under triangular norms," Fuzzy Sets Syst., vol.51, pp. 267-275, 1992.
    • (1992) Fuzzy Sets Syst. , vol.51 , pp. 267-275
    • Fulĺer, R.1    Zimmermann, H.-J.2
  • 51
    • 0012972456 scopus 로고    scopus 로고
    • Conditionally firing rules extend the possibilities of fuzzy controllers
    • Vienna, Austria
    • B. Moser and M. Navara, "Conditionally firing rules extend the possibilities of fuzzy controllers," in Proc. Int. Conf. Comput. Intell. Model., Vienna, Austria, 1999, pp. 242-245.
    • (1999) Proc. Int. Conf. Comput. Intell. Model. , pp. 242-245
    • Moser, B.1    Navara, M.2
  • 53
    • 0036601890 scopus 로고    scopus 로고
    • Fuzzy controllers with conditionally firing rules
    • Jun.
    • B. Moser and M. Navara, "Fuzzy controllers with conditionally firing rules," IEEE Trans. Fuzzy Syst., vol.10, no.3, pp. 340-348, Jun. 2002.
    • (2002) IEEE Trans. Fuzzy Syst. , vol.10 , Issue.3 , pp. 340-348
    • Moser, B.1    Navara, M.2
  • 54
    • 0027644672 scopus 로고
    • On the extension of the compositional rule of inference
    • D. Ruan and E. E. Kerre, "On the extension of the compositional rule of inference," Int. J. Intell. Syst., vol.8, pp. 807-817, 1993.
    • (1993) Int. J. Intell. Syst. , vol.8 , pp. 807-817
    • Ruan, D.1    Kerre, E.E.2
  • 55
    • 0002377005 scopus 로고    scopus 로고
    • Decomposition of a fuzzy controller based on the inference break-up method
    • DOI 10.1016/S1088-467X(99)00011-6
    • M. Golob, "Decomposition of a fuzzy controller based on the inference break-up method," Intell. Data Anal., vol.3, no.2, pp. 127-137, 1999 (Pubitemid 33260738)
    • (1999) Intelligent data analysis , vol.3 , Issue.2 , pp. 127-137
    • Golob, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.