On comparability relations in the class of interval-valued fuzzy relations

In: Tatra Mountains Mathematical Publications, vol. 66, no. 2

Barbara Pękala - Urszula Bentkowska - Bernard De Baets

Details:

Year, pages: 2016, 91 - 101

Keywords:

partial order, interval order, $T$-transitivity, pos-$T$-transitivity, interval-valued fuzzy relation

About article:

In this paper, a new relation for the set of interval-valued fuzzy relations is introduced. This relation is an interval order for the family of intervals and for the family of interval-valued fuzzy relations in a given set, it has the reflexivity property. Consequences of considering such a relation are studied in the context of operations on interval-valued fuzzy relations. A new transitivity property, namely possible $T$-transitivity is studied (pos-$T$-transitivity for short). This transitivity property is connected with the new relation proposed in this paper. Preservation of this type of transitivity by some operations is also discussed.

How to cite:

ISO 690:

Pękala, B., Bentkowska, U., De Baets, B. 2016. On comparability relations in the class of interval-valued fuzzy relations. In Tatra Mountains Mathematical Publications, vol. 66, no.2, pp. 91-101. 1210-3195.

APA:

Pękala, B., Bentkowska, U., De Baets, B. (2016). On comparability relations in the class of interval-valued fuzzy relations. Tatra Mountains Mathematical Publications, 66(2), 91-101. 1210-3195.