Journal ArticleDOI
Some methods for strategic decision-making problems with immediate probabilities in Pythagorean fuzzy environment
TLDR
A new decision‐making model with probabilistic information and using the concept of immediate probabilities has been developed to aggregate the information under the Pythagorean fuzzy set environment to show the utility of the developed method.Abstract:
In this article, a new decision‐making model with probabilistic information and using the concept of immediate probabilities has been developed to aggregate the information under the Pythagorean fuzzy set environment. In it, the existing probabilities have been modified by introducing the attitudinal character of the decision maker by using an ordered weighted average operator. Based on it, we have developed some new probabilistic aggregation operator with Pythagorean fuzzy information, namely probabilistic Pythagorean fuzzy weighted average operator, immediate probability Pythagorean fuzzy ordered weighted average operator, probabilistic Pythagorean fuzzy ordered weighted average, probabilistic Pythagorean fuzzy weighted geometric operator, immediate probability Pythagorean fuzzy ordered weighted geometric operator, probabilistic Pythagorean fuzzy ordered weighted geometric, etc. Furthermore, we extended these operators by taking interval‐valued Pythagorean fuzzy information and developed their corresponding aggregation operators. Few properties of these operators have also been investigated. Finally, an illustrative example about the selection of the optimal production strategy has been given to show the utility of the developed method.read more
Citations
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Journal ArticleDOI
Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process
TL;DR: A new linguistic Pythagorean fuzzy set (LPFS) is presented by combining the concepts of a Pythagorian fuzzy set and linguistic fuzzy set, and a multiattribute decision‐making method is established based on these operators.
Journal ArticleDOI
New exponential operational laws and their aggregation operators for interval‐valued Pythagorean fuzzy multicriteria decision‐making
TL;DR: New exponential operational laws of IVPFS, where bases are crisp values or interval numbers and exponents are interval‐valued Pythagorean fuzzy numbers are introduced and a decision‐making approach is presented based on these operators.
Journal ArticleDOI
New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications
TL;DR: The aim of this paper is to develop some new logarithm operational laws (LOL) with real number base λ for the Pythagorean fuzzy sets by utilizing the properties of LOL to solve the decision‐making problems.
Journal ArticleDOI
Pythagorean fuzzy MULTIMOORA method based on distance measure and score function: its application in multicriteria decision making process
Chao Huang,Mingwei Lin,Zeshui Xu +2 more
TL;DR: Two novel distance measures and a novel score function for PFSs are proposed for proposing a novel Pythagorean fuzzy MULTIMOORA method and another case for evaluating energy projects is given to verify the advantages of the studies by comparing them with the existing Pythagorian fuzzy distance measures, score functions, and decision making methods.
Journal ArticleDOI
Some Dombi aggregation of Q‐rung orthopair fuzzy numbers in multiple‐attribute decision making
TL;DR: This paper uses Dombi operations to build up a model to solve the multiple‐attribute decision making issues under Q‐rung orthopair fuzzy environment and states a realistic instance is stated to substantiate the created model and to exhibit its applicability and viability.
References
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Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Interval-Valued Intuitionistic Fuzzy Sets
TL;DR: In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced and the majority of the proofs below are analogous to the proofs from Chapter 1.
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
Zeshui Xu,Ronald R. Yager +1 more
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
Pythagorean membership grades in multicriteria decision making
TL;DR: The issue of having to choose a best alternative in multicriteria decision making leads the problem of comparing Pythagorean membership grades to be considered, and a variety of aggregation operations are introduced for these Pythagorian fuzzy subsets.