Interval Migrative Functions

Santana, Fabiana T.; Santana, Fagner; Santiago, Regivan H. N.; Bedregal, Benjamín R. C.

doi:10.1142/9789814619998_0042

Cited by 2 publications

(1 citation statement)

References 5 publications

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“…The concept of α-migrativity was introduced by Durante et al in [29], see also [40,Problem 1.8(b)] and [30]. Santana et al [50] extended, in a natural way, the notion of migrativity to the interval-valued setting.…”

Section: Interval-valued Fuzzy Setsmentioning

confidence: 99%

Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions

Bedregal

Bustince

Palmeira

et al. 2017

International Journal of Approximate Reasoning

104

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In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some properties of intervalvalued overlap functions and the derived interval-valued OWA operators are analysed. We specially focus on the homogeneity and migrativity properties.

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Section: Interval-valued Fuzzy Setsmentioning

confidence: 99%

Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions

Bedregal

Bustince

Palmeira

et al. 2017

International Journal of Approximate Reasoning

104

View full text Add to dashboard Cite

show abstract

Interval-Valued Pseudo Overlap Functions and Application

Liang

Zhang

2022

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A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as attribute values. Among them, when the importance of multiple attributes is different, it can only be calculated by changing the interval-valued weights. In fact, we can directly abandon the commutativity and extend the interval-valued overlap functions (IO) to interval-valued pseudo overlap functions (IPO) so that function itself implies the weights of the attributes, thus there is no need to calculate the OWA operator, which is more flexible in applications. In addition, the similar generalization on interval-valued pseudo t-norms obtained from interval-valued t-norms further enhances the feasibility of our study. In this paper, we mainly present the notion of interval-valued pseudo overlap functions and a few their qualities, including migrativity and homogeneity, and give some construction theorems and specific examples. Then, we propose the definitions of residuated implications induced by interval-valued pseudo overlap functions, give their equivalent forms, and prove some properties satisfied by them. Finally, two application examples about IPO to interval-valued multi-attribute decision making (I-MADM) are described. The results show that interval-valued pseudo overlap functions can not only be used to obtain the same rankings, but also be more flexible, simple and widely used.

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Interval Migrative Functions

Cited by 2 publications

References 5 publications

Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions

Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions

Interval-Valued Pseudo Overlap Functions and Application

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