| Authors: | Đukić, Marija Tepavčević, Andreja |
| Title: | Poset valued intuitionistic fuzzy sets |
| Journal: | Journal of Intelligent and Fuzzy Systems |
| Volume: | 31 |
| Issue: | 1 |
| First page: | 547 |
| Last page: | 553 |
| Issue Date: | 13-Jun-2016 |
| Rank: | M22 |
| ISSN: | 1064-1246 |
| DOI: | 10.3233/IFS-162167 |
| Abstract: | In this paper poset valued intuitionistic fuzzy sets are introduced and investigated (for posets in general). It is proved that in case of arbitrary finite posets, represented as a poset of a convenient distributive lattice, a natural version of the definition is obtained, using join-irreducible elements. Two families of cuts and their properties are investigated. Necessary and sufficient conditions under which two families of subsets are families of cuts of a poset valued intuitionistic fuzzy set are given. |
| Keywords: | cut-sets | Poset-valued intuitionistic fuzzy sets | representation by cuts |
| Publisher: | IOS Press |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.