On the Characterization of Sels-dual Aggregation Operators
نویسندگان
چکیده
Two different characterizations of self-dual aggregation operators are available in the literature: one based on C(x, y) = x/(x + 1 − y) and one based on the arithmetic mean. In this contribution, we fit the existing approaches into a more general framework and characterize N -invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes that arise during the construction process.
منابع مشابه
Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making
In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (...
متن کاملA COGNITIVE STYLE AND AGGREGATION OPERATOR MODEL: A LINGUISTIC APPROACH FOR CLASSIFICATION AND SELECTION OF THE AGGREGATION OPERATORS
Aggregation operators (AOs) have been studied by many schol- ars. As many AOs are proposed, there is still lacking approach to classify the categories of AO, and to select the appropriate AO within the AO candidates. In this research, each AO can be regarded as a cognitive style or individual dierence. A Cognitive Style and Aggregation Operator (CSAO) model is pro- posed to analyze the mapping ...
متن کاملA NOVEL TRIANGULAR INTERVAL TYPE-2 INTUITIONISTIC FUZZY SETS AND THEIR AGGREGATION OPERATORS
The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws. Furthermore, based on these operators, an approach to mul...
متن کاملThe self-dual core and the anti-self-dual remainder of an aggregation operator
In most decisional models based on pairwise comparison between alternatives, the reciprocity of the individual preference representations expresses a natural assumption of rationality. In those models self-dual aggregation operators play a central role, in so far as they preserve the reciprocity of the preference representations in the aggregation mechanism from individual to collective prefere...
متن کاملNegations and aggregation operators based on a new hesitant fuzzy partial ordering
Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al.~cite{GaCa:Pohfs}, in this paper a fuzzy disjunction ${D}$ on the set ${H}$ of finite and nonempty subsets of the unit interval and a t-conorm ${S}$ on the set $bar{{B}}$ of equivalence class on the set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzy negati...
متن کامل