Authors: Šešelja, Branimir
Tepavčević, Andreja 
Title: On a representation of posets by fuzzy sets
Journal: Fuzzy Sets and Systems
Volume: 98
Issue: 1
First page: 127
Last page: 132
Issue Date: 1-Jan-1998
Rank: M22
ISSN: 0165-0114
DOI: 10.1016/S0165-0114(96)00385-5
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, ≤) can be represented by the poset of levels of a particular fuzzy set, defined on the collection of meet-irreducible elements of (P, ≤).
Keywords: Cs-carrying cations | Fuzzy set | Irradiation | Level-sets | Meet-irreducible | Partially ordered set | Sputtering
Publisher: Elsevier

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