OWA operator for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making

Takáč, Zdenko

doi:10.14736/kyb-2016-3-0379

Cited by 3 publications

(1 citation statement)

References 24 publications

(39 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Gradual intervals emerged as a new way of looking at fuzzy intervals [19]: instead of considering them as fuzzy sets, one can see them as crisp intervals of gradual real numbers. Recall that the set of all gradual intervals also include the set of all fuzzy intervals, thus this DGIOWA operator will be applicable to fuzzy intervals too [20].…”

Section: Introductionmentioning

confidence: 99%

A linear order and OWA operator for discrete gradual real numbers

Taka¹

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

View full text Add to dashboard Cite

In this paper we introduce a class of linear orders for discrete gradual real numbers. Based on the linear orders we propose an OWA operator on the set of discrete gradual numbers and discuss some its properties. This is a first step of our intentions to introduce a class of linear orders, and consequently also OWA operator, for the set of discrete gradual intervals. Because the set of all fuzzy intervals is included in the set of all gradual intervals, proposed linear orders and OWA operators would be applicable in the settings of fuzzy intervals too.

show abstract

Section: Introductionmentioning

confidence: 99%

A linear order and OWA operator for discrete gradual real numbers

Taka¹

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

View full text Add to dashboard Cite

show abstract

On the admissibility of the alpha-order for fuzzy numbers

García-Zamora,

Cruz,

Neres

et al. 2024

Comp. Appl. Math.

View full text Add to dashboard Cite

Three Ways of Defining Owa Operator on the Set of All Normal Convex Fuzzy Sets

Takáč¹

2017

Tatra Mountains Mathematical Publications

Self Cite

View full text Add to dashboard Cite

ABSTRACT. We deal with an extension of ordered weighted averaging (OWA, for short) operators to the set of all normal convex fuzzy sets in [0,1]. The main obstacle to achieve this goal is the non-existence of a linear order for fuzzy sets. Three ways of dealing with the lack of a linear order on some set and defining OWA operators on the set appeared in the recent literature. We adapt the three approaches for the set of all normal convex fuzzy sets in [0, 1] and study their properties. It is shown that each of the three approaches leads to operator with desired algebraic properties, and two of them are also linear.

show abstract

OWA operator for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making

Cited by 3 publications

References 24 publications

A linear order and OWA operator for discrete gradual real numbers

A linear order and OWA operator for discrete gradual real numbers

On the admissibility of the alpha-order for fuzzy numbers

Three Ways of Defining Owa Operator on the Set of All Normal Convex Fuzzy Sets

Contact Info

Product

Resources

About