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Constructing uninorms via closure operators on a bounded lattice.
- Source :
-
Fuzzy Sets & Systems . Sep2020, Vol. 395, p93-106. 14p. - Publication Year :
- 2020
-
Abstract
- In this paper, via closure (resp. interior) operators on a bounded lattice L , we propose a rather effective method to construct uninorms on L with a given triangular norm T (resp. triangular conorm S) on the subinterval 0 , e (resp. e , 1) of L. Our method encompasses as special cases the construction methods introduced by F. Karaçal and R. Mesiar (2015) [16] as well as by G.D. Çaylı et al. (2016) [5]. We also exploit a pair of novel closure and interior operators on complete lattices and utilize this pair of operators to construct uninorms. Several interesting examples are included to illustrate our method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TRIANGULAR norms
*MINE closures
Subjects
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 395
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 143657293
- Full Text :
- https://doi.org/10.1016/j.fss.2019.05.006