Geometric compatibility modification

Fuzzy Sets and Systems

Volumn 84, Issue 3, 1996, Pages 283-299

  Cross, Valerie ^a   Sudkamp, Thomas ^b  

^a MIAMI UNIVERSITY   (United States)

^b Wright State University   (United States)

Author keywords

Approximate reasoning; Fuzzy inference; Interpolation; Similarity measures

Indexed keywords

FORMAL LOGIC; GEOMETRY; INFERENCE ENGINES; INTERPOLATION; MODIFICATION;

APPROXIMATE REASONING; DISSEMBLANCE INDEX; FUZZY INFERENCE; GEOMETRIC COMPATIBILITY; LINEAR RULE INTERPOLATION; SIMILARITY MEASURES;

FUZZY SETS;

EID: 0030408364     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-0114(95)00319-3     Document Type: Article

References (23)

1. V. Cross, An analysis of fuzzy-set aggregators and compatibility measures, Ph.D. Thesis, Wright State University (1993).
2. V. Cross and T. Sudkamp, Fuzzy implication and compatibility modification, in: Proc. Second IEEE Internat. Conf. on Fuzzy Systems (San Francisco, 1993) 219-224.
3. R. Degani and G. Bortolan, The problem of linguistic approximation in clinical decision making, Internat. J. Approx. Reasoning 2 (1988) 143-162.
4. L. Ding, Z. Shen and M. Mukaidono, Revision principle for approximate reasoning-based on linear revising method, in: Proc. Second Internat. Conf. on Fuzzy Logic and Neural Networks, Iizuka'92 (1992) 305-308.
5. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications (Academic Press, New York, 1980).
6. D. Dubois and H. Prade, The generalized modus ponens under sup-min composition: a theoretical study, in: M.M. Gupta, A. Kandel, W. Bandler and J. Kiszka, Eds., Approximate Reasoning in Expert Systems (North-Holland, Amsterdam, 1985) 217-232.
7. D. Dubois and H. Prade, Gradual inference rules in approximate reasoning, Inform. Sci. 61 (1992) 103-122.
8. R. Goetschel and W. Voxman, Topological properties of fuzzy numbers, Fuzzy Sets and Systems 10 (1983) 87-99.
9. K. Hirota and W. Pedrycz, Handling fuzziness and randomness in the process of matching fuzzy data, in: Proc. Third IFSA Congress (1989) 97-100.
10. A. Kaufmann and M.M. Gupta, Introduction to Fuzzy Arithmetic (Van Nostrand Reinhold, New York, 1985).
11. L. Koczy and K. Hirota, Approximate reasoning by linear rule interpolation and general approximation, Internat. J. Approx. Reasoning 9(3) (1993) 197-225.
12. E.H. Mamdani, Advances in the linguistic synthesis of fuzzy controllers, Internat. J. Man-Machine Studies 8 (1976) 669-678.
13. M. Mizumoto, Extended fuzzy reasoning, in: M.M. Gupta, A. Kandel, W. Bandler and J.B. Kiszka, Eds., Approximate Reasoning in Expert Systems (North-Holland, Amsterdam, 1985).
14. M. Mukaidono, L. Ding and Z. Shen, Approximate reasoning based on the revision principle, in: Proc. NAFIPS'90 (Toronto, 1990) 94-97.
15. C.P. Pappis and N.I. Karacapilidis, A comparative assessment of measures of similarity of fuzzy values, Fuzzy Sets and Systems 56(2) (1993) 171-174.
16. H. Prade, Approximate and plausible reasoning, in: E. Sanchez, Ed., Fuzzy Information, Knowledge Representation, and Decision Analysis (Pergamon Press, Oxford, 1984).
17. H. Prade and C. Testemale, Fuzzy relational databases: representational issues and reduction using similarity measures, J. Amer. Soc. Inform. Sci. 38(2) (1987) 118-126.
18. A.L. Ralescu and D.A. Ralescu, Probability and fuzziness, Inform. Sci. 34 (1984) 85-92.
19. D. Sinha and E.R. Dougherty, Fuzzification of set inclusion: theory and applications, Fuzzy Sets and Systems 55(1) (1993) 15-42.
20. I.B. Turksen and Z. Zhong, An analogical approximate reasoning based on similarity measures, IEEE Trans. Systems Man Cybernet. 18 (1988) 1049-1056.
21. I.B. Turksen, Fuzzy second generation expert system design for IE/OR/MS, in: Proc. IEEE Internat. Conf. on Fuzzy Systems (1992) 779-786.
22. L.A. Zadeh, The role of fuzzy logic in the management of uncertainty in expert systems, Fuzzy Sets and Systems 11 (1983) 199-227.
23. Rami Zwick, Edward Carlstein and David Budescu, Measures of similarity among fuzzy concepts: a comparative analysis, Internat. J. Approx. Reasoning 1 (1987) 221-242.