2019
DOI: 10.1002/int.22125
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Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision‐making

Abstract: The operations of t‐norm and t‐conorm, developed by Dombi, were generally known as Dombi operations, which may have a better expression of application if they are presented in a new form of flexibility within the general parameter. In this paper, we use Dombi operations to create a few Pythagorean fuzzy Dombi aggregation operators: Pythagorean fuzzy Dombi weighted average operator, Pythagorean fuzzy Dombi order weighted average operator, Pythagorean fuzzy Dombi hybrid weighted average operator, Pythagorean f… Show more

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Cited by 118 publications
(45 citation statements)
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“…Jana et al applied picture fuzzy Dombi aggregation operators to MADM process. Jana et al also applied Dombi triangular norms to bipolar fuzzy set and Pythagorean fuzzy set and utilized these to MADM process. Shi et al prolonged Dombi triangular norms to neutrosophic cubic sets and applied it for a passenger to make a travel decision.…”
Section: Introductionmentioning
confidence: 99%
“…Jana et al applied picture fuzzy Dombi aggregation operators to MADM process. Jana et al also applied Dombi triangular norms to bipolar fuzzy set and Pythagorean fuzzy set and utilized these to MADM process. Shi et al prolonged Dombi triangular norms to neutrosophic cubic sets and applied it for a passenger to make a travel decision.…”
Section: Introductionmentioning
confidence: 99%
“…(iii) It is also significant to study games with complicated fuzzinesses modelled by Pythagorean fuzzy set, 63,64 Fermatean fuzzy sets 65 and MBS theory. 56 Perhaps some decision methods 66,67 on these complicated fuzzy sets can be applied to security games of such fuzzy payoffs. (iv) The performance of some new uncertainty measures in information science (e.g., the pseudo-Pascal triangle based on the maximum Deng entropy, 68 probability transform based on the OWA and entropy difference, 69 the interval-valued Pythagorean-prioritised operator, 70 etc.)…”
Section: Discussionmentioning
confidence: 99%
“…42,43 Aggregation operators are powerful tools for decision-making, especially in a groupdecision-making environment. 44,45 Aggregation is the process of combining numerical values into a single number that represents the original set of numbers. The objective of aggregation operators is to combine preferences into a general value while considering all the parts.…”
Section: Neutrosophic Fuzzy Valuesmentioning
confidence: 99%
“…Aggregation operators are powerful tools for decision‐making, especially in a group‐decision‐making environment 44,45 . Aggregation is the process of combining numerical values into a single number that represents the original set of numbers.…”
Section: Literature Reviewmentioning
confidence: 99%