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Fuzzy relational equations with generalized connectives and their applications. (English) Zbl 0525.04004


MSC:

03E20 Other classical set theory (including functions, relations, and set algebra)
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[1] Bellman, R. E.; Zadeh, L. A., Decision-making in fuzzy environment, Management Sci., 17, 141-164 (1970) · Zbl 0224.90032
[2] Bellman, R. E.; Zadeh, L. A., Local and fuzzy logics, (Dunn, J. M.; Epstein, D., Modern Uses of Multiple Valued Logic (1977), Reidel: Reidel London), 103-165 · Zbl 0382.03017
[3] Czogala, E.; Pedrycz, W., Computer fault diagnostics by the use of multivalued logic and fuzzy set theory, (Proc. 2nd Conf. Fault Tolerant Systems and Diagnostics. Proc. 2nd Conf. Fault Tolerant Systems and Diagnostics, Brno (1979))
[4] Czogala, E.; Pedrycz, W., On identification in fuzzy systems and its applications in control problems, Fuzzy Sets and Systems, 6, 73-83 (1981) · Zbl 0473.93070
[5] Czogala, E.; Gottwald, S.; Pedrycz, W., Contribution to application of energy measure of fuzziness, Fuzzy Sets and Systems, 8, 205-214 (1982) · Zbl 0488.94052
[6] Czogala, E.; Drewniak, J.; Pedrycz, W., Fuzzy relation equations on a finite set, Fuzzy Sets and Systems, 7, 89-101 (1982) · Zbl 0483.04001
[7] Czogala, E.; Gottwald, S.; Pedrycz, W., On the concepts of measures of fuzziness and their applications in decision making, (Prep. 8th World Congress IFAC, Kyoto, Vol. 5 (1981)), 7-12
[8] Dijkman, J. G.; van Haeringen, H.; de Lange, S. L., Fuzzy numbers, (Lasker, G. E., Applied Systems and Cybernetics, Vol. VI (1981), Pergamon Press: Pergamon Press Dordrecht), 2753-2756
[9] Dubois, D.; Prade, H., Fuzzy Sets and Systems: Theory and Applications (1980), Academic Press: Academic Press New York · Zbl 0444.94049
[10] Giles, R., Lujasiewicz logic and fuzzy set theory, Int. J. Man-Machine Studies, 8, 313-327 (1976) · Zbl 0335.02037
[11] Kickert, W. J.M.; Mamdani, E. H., Analysis of a fuzzy logic controller, Fuzzy Sets and Systems, 1, 29-44 (1978) · Zbl 0364.93022
[12] Klement, E. P., Fuzzy \(δ\)-algebras and fuzzy measures with respect to \(T\)-norms, (Proc. Round Table on Fuzzy Sets (1980), Univ. de Lyon: Univ. de Lyon New York) · Zbl 0547.04003
[13] Negoita, C. V.; Ralescu, D. A., Applications of Fuzzy Sets to Systems Analysis (1975), Birkhauser: Birkhauser France · Zbl 0326.94002
[14] Pappis, C. P.; Sugeno, M., Fuzzy relational equations and the inverse problem, (Mamdani, E. H.; Gaines, B. R., Discrete Systems and Fuzzy Reasoning, Workshop Proc. Queen Mary College (1976), University of London: University of London Basel) · Zbl 0561.04003
[15] Pedrycz, W., An approach to the analysis of fuzzy systems, Int. J. Control, 34, 403-421 (1981) · Zbl 0476.93011
[16] Pedrycz, W.; Hirota, K., Fuzzy-probabilistic algorithms in identification of fuzzy systems, (Prep. 8th Triennial World Congress IFAC, Kyoto, Vol. 5 (1981)), 52-56
[17] W. Pedrycz, On the resolution of sup-prod fuzzy relational equations, Archiwum Automatyki i Telemechaniki, submitted.; W. Pedrycz, On the resolution of sup-prod fuzzy relational equations, Archiwum Automatyki i Telemechaniki, submitted.
[18] W. Pedrycz, Some aspects of fuzzy decision-making, Kybernetes, to appear.; W. Pedrycz, Some aspects of fuzzy decision-making, Kybernetes, to appear.
[19] Rudeanu, S., Boolean Functions and Equations (1974), North-Holland · Zbl 0321.06013
[20] Sanchez, E., Resolution of composite fuzzy relation equations, Information & Control, 30, 38-48 (1976) · Zbl 0326.02048
[21] Sanchez, E.; Sambuc, R., Relations flous. Function Φ-flous. Application á l’aide en diagnostic en pathologie thyroidienne, (Med. Data Process. Symp. I.R.I.A.. Med. Data Process. Symp. I.R.I.A., Toulouse, France (1976))
[22] Sanchez, E., Solutions in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic, (Gupta, M. M.; Saridis, G. N.; Gaines, B. R., Fuzzy Automata and Decision Processes (1977), North-Holland: North-Holland Amsterdam), 221-234
[23] Schweizer, B.; Sklar, A., Associative functions and abstract semi-groups, Publ. Math. Debrecen, 10, 69-81 (1963) · Zbl 0119.14001
[24] Tashiro, T., Method of solution to inverse problem of fuzzy correspondence model, (Summary of Papers on General Fuzzy Problems (1977), Working Group on Fuzzy Systems: Working Group on Fuzzy Systems Amsterdam), 70-79, No. 3
[25] Thole, U.; Zimmermann, H. J.; Zysno, P., On the suitability of minimum and product operators for intersection of fuzzy sets, Fuzzy Sets and Systems, 2, 167-180 (1979) · Zbl 0408.94030
[26] Tsukamoto, Y.; Terano, T., Failure diagnosis by using fuzzy logic, (Proc. IEEE Conf. Decision, Control, New Orleans, 2 (1977)), 1390-1395
[27] Wenstøp, F., Deductive verbal models of organizations, Int. J. Man-Machine Studies, 8, 293-311 (1976) · Zbl 0361.68139
[28] Yager, R. R., On general class of fuzzy connectives, Fuzzy Sets and Systems, 4, 235-242 (1980) · Zbl 0443.04008
[29] Zimmermann, H.-J., Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1, 45-46 (1978) · Zbl 0364.90065
[30] Zimmermann, H.-J.; Zysno, P., Latent connectives in human decision making, Fuzzy Sets and Systems, 4, 37-51 (1980) · Zbl 0435.90009
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