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On nonstrict means ; Marichal, Jean-Luc in Aequationes Mathematicae (1997), 54(3), 308-327 The general form of continuous, symmetric, increasing, idempotent solutions of the bisymmetry equation is established and the family of sequences of functions which are continuous, symmetric, increasing ... [more ▼] The general form of continuous, symmetric, increasing, idempotent solutions of the bisymmetry equation is established and the family of sequences of functions which are continuous, symmetric, increasing, idempotent, decomposable is described. [less ▲] Detailed reference viewed: 55 (12 UL)On nonstrict means ; Marichal, Jean-Luc in Proc. of the Int. Conf. on Methods and Applications of Multicriteria Decision Making (ICMAM'97), Mons, Belgium, May 14-16, 1997 (1997, May) The general form of continuous, symmetric, increasing, idempotent solutions of the bisymmetry equation is established and the family of sequences of functions which are continuous, symmetric, increasing ... [more ▼] The general form of continuous, symmetric, increasing, idempotent solutions of the bisymmetry equation is established and the family of sequences of functions which are continuous, symmetric, increasing, idempotent, decomposable is described. [less ▲] Detailed reference viewed: 28 (2 UL)On nonstrict means ; Marichal, Jean-Luc Scientific Conference (1996, January) Detailed reference viewed: 22 (3 UL)Characterization of some aggregation functions arising from MCDM problems ; Marichal, Jean-Luc ; in Bouchon-Meunier, Bernadette; Yager, Ronald R.; Zadeh, Lotfi A. (Eds.) Fuzzy Logic and Soft Computing (1995) We investigate the aggregation phase of multicriteria decision making procedures. Characterizations of some classes of nonconventional aggregation operators are established. The first class consists of ... [more ▼] We investigate the aggregation phase of multicriteria decision making procedures. Characterizations of some classes of nonconventional aggregation operators are established. The first class consists of the ordered weighted averaging operators (OWA) introduced by Yager. The second class corresponds to the weighted maximum de¯ned by Dubois and Prade. The dual class (weighted minimum) and some ordered versions are also characterized. Results are obtained via solutions of functional equations. [less ▲] Detailed reference viewed: 78 (1 UL)Characterization of the ordered weighted averaging operators ; Marichal, Jean-Luc ; in IEEE Transactions on Fuzzy Systems (1995), 3(2), 236-240 This paper deals with the characterization of two classes of monotonic and neutral (MN) aggregation operators. The first class corresponds to (MN) aggregators which are stable for the same positive linear ... [more ▼] This paper deals with the characterization of two classes of monotonic and neutral (MN) aggregation operators. The first class corresponds to (MN) aggregators which are stable for the same positive linear transformations and presents the ordered linkage property. The second class deals with (MN)-idempotent aggregators which are stable for positive linear transformations with the same unit, independent zeroes and ordered values. These two classes correspond to the weighted ordered averaging operator (OWA) introduced by Yager in 1988. It is also shown that the OWA aggregator can be expressed as a Choquet integral. [less ▲] Detailed reference viewed: 85 (4 UL)Characterization of some aggregation functions arising from MCDM problems ; Marichal, Jean-Luc ; in Bouchon-Meunier, Bernadette; Yager, Ronald R.; Zadeh, Lotfi A. (Eds.) Proc. 5th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'94) (1994, July) This paper deals with some characterizations of two classes of non-conventional aggregation operators. The first class consists of the weighted averaging operators (OWA) introduced by Yager while the ... [more ▼] This paper deals with some characterizations of two classes of non-conventional aggregation operators. The first class consists of the weighted averaging operators (OWA) introduced by Yager while the second class corresponds to the weighted maximum and related operators defined by Dubois and Prade. These characterizations are established via solutions of some functional equations. [less ▲] Detailed reference viewed: 53 (2 UL) |
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