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


03-XX Mathematical logic and foundations
Full Text: DOI


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.