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

Detaily:

Rok, strany: 2016, 91 - 101

Kľúčové slová:

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

O článku:

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.

Ako citovať:

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.