COMBINING FUZZY-SETS - THE GEOMETRIC CONSENSUS FUNCTION FAMILY

Authors
TORRA V
Citation
V. Torra, COMBINING FUZZY-SETS - THE GEOMETRIC CONSENSUS FUNCTION FAMILY, Fuzzy sets and systems, 74(3), 1995, pp. 335-342
Citations number
13
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
74
Issue
3
Year of publication
1995
Pages
335 - 342
Database
ISI
SICI code
0165-0114(1995)74:3<335:CF-TGC>2.0.ZU;2-0
Abstract
This paper introduces the geometric consensus function (GCF) family, a set of combination functions for triangular and trapezoidal fuzzy set s. We give some examples of this family (among them two defined as cou nterparts of two previously defined in the literature). We observe in this case that a GCF returns a membership function easier to represent (with less non-derivable points). Two of the examples introduced are easy to compute and satisfy the independence of irrelevant alternative condition.