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Mizumoto, Masaharu

Pictorial representations of fuzzy connectives. II: Cases of compensatory operators and self-dual operators. (English) Zbl 0709.03524

Fuzzy Sets Syst. 32, No. 1, 45-79 (1989).

Cited in 15 Documents

MSC:

03-XX Mathematical logic and foundations
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References:

[1] Dombi, J., A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators, Fuzzy Sets and Systems, 8, 149-163 (1982) · Zbl 0494.04005
[2] Dubois, D.; Prade, H., Criteria aggregation and ranking of alternatives in the framework of fuzzy set theory, (Zimmermann, H.-J.; Zadeh, L. A.; Gaines, B. R., Fuzzy Sets and Decision Analysis (1984), North-Holland: North-Holland Amsterdam), 209-240 · Zbl 0537.90057
[3] Dubois, D.; Prade, H., A review of fuzzy set aggregation connectives, Inform. Sci., 36, 85-121 (1985) · Zbl 0582.03040
[4] Frank, M. J., On the simultaneous associativity of \(F(x,y)\) and \(x+y-F(x,y)\), Aequat. Math., 19, 194-226 (1979) · Zbl 0444.39003
[5] Hamacher, H., Uber logische Aggregitionen nich binär explizierter Entscheidungskriterien (1978), Rita G. Fischer Verlag: Rita G. Fischer Verlag Frankfurt
[6] Luhandjula, M. K., Compensatory operators in fuzzy linear programming with multiple objectives, Fuzzy Sets and Systems, 8, 245-252 (1982) · Zbl 0492.90076
[7] Mizumoto, M., Pictorial representation of fuzzy connectives Part I: Cases of t-norms, t-conorms and averaging operators, Fuzzy Sets and Systems, 31, 217-242 (1989)
[8] Sales, T., Una logica multivalent Booleana (LMB), (Primer Congres Catola de Logica Matematica. Primer Congres Catola de Logica Matematica, Barcelona (1982)), 113-116 · Zbl 0498.00001
[9] Schweizer, B.; Sklar, A., Associative functions and statistical tringle inequalities, Publ. Math. Debrecen, 8, 169-186 (1961) · Zbl 0107.12203
[10] Silvert, W., Symmetric summation: a class of operations on fuzzy sets, IEEE Trans. Systems Man Cybernet., 9, 659-667 (1979) · Zbl 0424.04003
[11] Werners, B., Interaktive Entscheidungsunierstutzung durch ein flexibles mathematisches Programmierungssystem (1984), München
[12] Zimmermann, H.-J.; Zysno, P., Latent connectives in human decision making, Fuzzy Sets and Systems, 4, 37-51 (1980) · Zbl 0435.90009
[13] Zimmermann, H.-J., Fuzzy set theory and mathematical programmig, (Jones, A.; etal., Fuzzy Sets Theory and Applications (1986), Reidel: Reidel Dordrecht), 99-114 · Zbl 0625.90065
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