×

The uncertain OWA operator. (English) Zbl 1016.68025

Summary: The Ordered Weighted Averaging (OWA) operator was introduced by Yager to provide a method for aggregating several inputs that lie between the max and min operators. In this article, we investigate the uncertain OWA operator in which the associated weighting parameters cannot be specified, but value ranges can be obtained and each input argument is given in the form of an interval of numerical values. The problem of ranking a set of interval numbers and obtaining the weights associated with the uncertain OWA operator is studied.

MSC:

68N19 Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Yager, IEEE Trans Syst Man Cybernet 18 pp 183– (1988) · Zbl 0637.90057
[2] Yager, Fuzzy Sets Syst 59 pp 125– (1993) · Zbl 0790.94004
[3] Torra, Int J Intell Syst 12 pp 153– (1997) · Zbl 0867.68089
[4] Mitchell, Int J Intell Syst 13 pp 69– (1998) · Zbl 1087.93516
[5] Filev, Fuzzy Sets Syst 94 pp 157– (1998)
[6] Yager, Int J Man-Machine Studies 37 pp 103– (1992)
[7] Filev, Info Sci 85 pp 11– (1995) · Zbl 0870.90004
[8] Yager, Int J Gen Syst 22 pp 297– (1994)
[9] Yager, Fuzzy Sets Syst 70 pp 303– (1995)
[10] Yager, Int J Man-Machine Studies 38 pp 187– (1993)
[11] Yager, Info Sci 82 pp 147– (1995) · Zbl 0871.94009
[12] Fodor, IEEE Trans Fuzzy Syst 3 pp 236– (1995)
[13] Yager, Int J Expert Syst 5 pp 211– (1992)
[14] editors. The ordered weighted averaging operator: Theory and applications. Boston, MA: Kluwer; 1997.
[15] Mitchell, Int J Uncertainty Fuzziness Knowledge-Based Syst 5 pp 429– (1997) · Zbl 1232.68139
[16] Ovchinnikov, Int J Intell Syst 13 pp 59– (1998) · Zbl 0919.93049
[17] Aggregating template rule antecedents in real-time expert systems with fuzzy set logic. Proc IEEE 22nd Ann Asilomar Conf on Signals, Systems and Computers. Pacific Grove, CA; 1988. pp 681-689.
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.