Počet záznamov: 1
Generalized convexities related to aggregation operators of fuzzy sets
SYS 0249319 LBL 01929^^^^^2200217^^^450 005 20240509133622.7 014 $a 000407667400001 $2 CCC 014 $a 000407667400001 $2 WOS CC. SCIE 014 $a 2-s2.0-85026517966 $2 SCOPUS 017 70
$a 10.14736/kyb-2017-3-0383 $2 DOI 100 $a 20170823d2017 m y slo 03 ba 101 0-
$a eng 102 $a CZ 200 1-
$a Generalized convexities related to aggregation operators of fuzzy sets $f Susana Díaz ... [et al.] 330 0-
$a We analyze the existence of fuzzy sets of a universe that are convex with respect to cer- tain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping F : [0, 1] × [0,1] → [0,1], a fuzzy subset, say X, of the real line is said to be F-convex if for any x,y,z ∈ R such that x ≤ y ≤ z, it holds that μX(y) ≥ F(μX(x),μX(z)), where μX : R → [0,1] stands here for the membership function that defines the fuzzy set X. We study the existence of such sets paying attention to different classes of aggregation operators (that is, the corresponding functions F , as above), and preserving F -convexity under aggregation of fuzzy sets. Among those typical classes, triangular norms T will be analyzed, giving rise to the concept of norm convexity or T-convexity, as a particular case of F-convexity. Other different kinds of generalized convexities will also be discussed as a by-product 463 -1
$1 001 umb_un_cat*0293224 $1 011 $a 0023-5954 $1 011 $a 1805-949X $1 200 1 $a Kybernetika $v Roč. 53, č. 3 (2017), s. 383-393 $1 210 $a Praha $c Akademie věd České republiky $d 2017 606 0-
$3 umb_un_auth*0037590 $a fuzzy množiny $X fuzzy sets 606 0-
$3 umb_un_auth*0197306 $a konvexnosť $X convexity 606 0-
$3 umb_un_auth*0167357 $a aggregation functions 615 $n 51 $a Matematika 675 $a 51 700 -1
$3 umb_un_auth*0242322 $a Díaz $b Susana $4 070 $9 5 701 -1
$3 umb_un_auth*0240825 $a Induráin $b Esteban $4 070 $9 5 701 -0
$3 umb_un_auth*0001319 $a Janiš $b Vladimír $p UMBFP10 $4 070 $9 80 $f 1963- $T Katedra matematiky 701 -1
$3 umb_un_auth*0262994 $a Llinares $b Juan Vicente $4 070 $9 5 701 -0
$3 umb_un_auth*0031149 $a Montes $b Susana $4 070 $9 5 801 $a SK $b BB301 $g AACR2 $9 unimarc sk T85 $x existuji fulltexy
Počet záznamov: 1