Upper Bounding Overlaps by Groupings

Madrid, Nicolás; Barrenechea, Edurne; Bustince, Humberto; Fernández, Javier; Perfilieva, Irina

doi:10.1007/978-3-642-39165-1_35

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2015

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“…Bustince et al in [4] introduced a new class of aggregation functions called overlap functions, which are basically continuous, positive and commutative 2dimensional aggregation operators [3]. From them several theoretical and applied research on this kind of function have been made (see for example [2,6,10,11,12,17,19]). Overlap function has been applied in classification problems where the classes are not clearly separated (see for example [16]) and in decision making based on fuzzy preference relations (see for example [6]).…”

Section: Introductionmentioning

confidence: 99%

Weighted Average Operators Generated by n-dimensional Overlaps and an Application in Decision

Silva

Bedregal

Bustince

2015

Advances in Intelligent Systems Research

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In this paper we provide a way to generate a class of weighted average operator from n-dimensional overlap functions and aggregation functions. These weighted average operators are used in an algorithm of a multiattribute group decision making problem based on decision matrix. An illustrative example is considered with the application of our method for two specific weighted average operators of this class. This result is compared with the ranking of other methods.

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