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Journal ArticleDOI

An overview of operators for aggregating information

Zeshui Xu, +1 more
- 01 Sep 2003 - 
- Vol. 18, Iss: 9, pp 953-969
TLDR
This work first makes a survey of the existing main aggregation operators and then proposes some new aggregation operators such as the induced ordered weighted geometric averaging (IOWGA) operator, generalized inducedordered weighted averaging (GIOWA), hybrid weighted averaged (HWA), etc., and briefly classify all of these aggregation operators.
Abstract
In this work, we first make a survey of the existing main aggregation operators and then propose some new aggregation operators such as the induced ordered weighted geometric averaging (IOWGA) operator, generalized induced ordered weighted averaging (GIOWA) operator, hybrid weighted averaging (HWA) operator, etc., and study their desirable properties. Finally, we briefly classify all of these aggregation operators. © 2003 Wiley Periodicals, Inc.

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Citations
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Journal ArticleDOI

Intuitionistic Fuzzy Aggregation Operators

TL;DR: Based on score function and accuracy function, a method is introduced for the comparison between two intuitionistic fuzzy values and some aggregation operators are developed, such as the intuitionism fuzzy weighted averaging operator, intuitionists fuzzy ordered weighted averaging operators, and intuitionistic fuzziness hybrid aggregation operator, for aggregating intuitionist fuzzy values.
Journal ArticleDOI

Some geometric aggregation operators based on intuitionistic fuzzy sets

TL;DR: This paper develops some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionists fuzzy ordered weighted geometric(IFOWG)operator, and the intuitionism fuzzy hybrid geometric (ifHG) operators, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzz sets.
Journal ArticleDOI

Hesitant fuzzy information aggregation in decision making

TL;DR: The relationship between intutionistic fuzzy set and hesitant fuzzy set is discussed, based on which some operations and aggregation operators for hesitant fuzzy elements are developed and their application in solving decision making problems is given.
Book ChapterDOI

Multiple criteria decision making

TL;DR: In this Chapter, a decision maker (or a group of experts) trying to establish or examine fair procedures to combine opinions about alternatives related to different points of view is imagined.
Journal ArticleDOI

A method based on linguistic aggregation operators for group decision making with linguistic preference relations

TL;DR: This paper proposes a practical method for group decision making with linguistic preference relations based on the LGA and the LHGA operators and develops some new aggregation operators, which can be utilized to aggregate preference information taking the form of linguistic variables.
References
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Book

Decisions with Multiple Objectives: Preferences and Value Trade-Offs

TL;DR: In this article, a confused decision maker, who wishes to make a reasonable and responsible choice among alternatives, can systematically probe his true feelings in order to make those critically important, vexing trade-offs between incommensurable objectives.
Journal ArticleDOI

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

TL;DR: A type of operator for aggregation called an ordered weighted aggregation (OWA) operator is introduced and its performance is found to be between those obtained using the AND operator and the OR operator.
Journal ArticleDOI

An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller

TL;DR: Fuzzy logic is used to convert heuristic control rules stated by a human operator into an automatic control strategy, and the control strategy set up linguistically proved to be far better than expected in its own right.
Journal ArticleDOI

Fuzzy logic in control systems: fuzzy logic controller. II

TL;DR: The basic aspects of the FLC (fuzzy logic controller) decision-making logic are examined and several issues, including the definitions of a fuzzy implication, compositional operators, the interpretations of the sentence connectives 'and' and 'also', and fuzzy inference mechanisms, are investigated.
Journal Article

Fuzzy logic in control systems : fuzzy logic controller. Part II

TL;DR: The fuzzy logic controller (FLC) based on fuzzy logic provides a means of converting a linguistic control strategy based on expert knowledge into an automatic control strategy.