Name
Abstract | ||
|---|---|---|
The aim of the paper is to present an application of fuzzy sets in mathematics, namely, in the theory of ordered sets. An algorithm for the construction of P-fuzzy sets with distinct levels is given. In connection with this, every finite poset can be mapped, by an anti-isotone bijection, onto the poset of levels of a suitable fuzzy set. Moreover, it is proved that every finite partially ordered set (P, less than or equal to) can be represented by the poset of levels of a particular fuzzy set, defined on the collection of meet-irreducible elements of (P, less than or equal to). (C) 1998 Elsevier Science B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1016/S0165-0114(96)00385-5 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
partially ordered set,meet-irreducible,fuzzy set,level-sets | Discrete mathematics,Combinatorics,Finite set,Bijection,Fuzzy classification,Graded poset,Fuzzy set,Fuzzy number,Membership function,Partially ordered set,Mathematics | Journal |
Volume | Issue | ISSN |
98 | 1 | 0165-0114 |
Citations | PageRank | References |
11 | 1.46 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Branimir Šešelja | 1 | 170 | 23.33 |
| Andreja Tepavcevic | 2 | 143 | 22.67 |