Journal ArticleDOI
Some Results for Pythagorean Fuzzy Sets
Xindong Peng,Yong Yang +1 more
TLDR
A Pythagorean fuzzy superiority and inferiority ranking method to solve uncertainty multiple attribute group decision making problem and its properties such as boundedness, idempotency, and monotonicity are investigated.Abstract:
Pythagorean fuzzy sets PFSs, originally proposed by Yager Yager, Abbasov. Int J Intell Syst 2013;28:436-452, are a new tool to deal with vagueness considering the membership grades are pairs µ,i¾? satisfying the condition µ2+i¾?2i¾?1. As a generalized set, PFSs have close relationship with intuitionistic fuzzy sets IFSs. PFSs can be reduced to IFSs satisfying the condition µ+i¾?i¾?1. However, the related operations of PFSs do not take different conditions into consideration. To better understand PFSs, we propose two operations: division and subtraction, and discuss their properties in detail. Then, based on Pythagorean fuzzy aggregation operators, their properties such as boundedness, idempotency, and monotonicity are investigated. Later, we develop a Pythagorean fuzzy superiority and inferiority ranking method to solve uncertainty multiple attribute group decision making problem. Finally, an illustrative example for evaluating the Internet stocks performance is given to verify the developed approach and to demonstrate its practicality and effectiveness.read more
Citations
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Journal ArticleDOI
Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making
Peide Liu,Peng Wang +1 more
TL;DR: This work presented two new methods to deal with the multi‐attribute decision making problems under the fuzzy environment and used some practical examples to illustrate the validity and superiority of the proposed method by comparing with other existing methods.
Journal ArticleDOI
A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making
TL;DR: These weighted aggregated operators are applied to decision‐making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality, and effectiveness of the new approach.
Journal ArticleDOI
An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets
TL;DR: The concept of spherical fuzzy set (SFS) and T-spherical fuzzy set [T-SFS] is introduced as a generalization of FS, IFS and PFS and shown by examples and graphical comparison with early established concepts.
Journal ArticleDOI
Multicriteria Pythagorean fuzzy decision analysis
TL;DR: A closeness index-based Pythagorean fuzzy QUALIFLEX method is developed to address hierarchical multicriteria decision making problems within Pythagorian fuzzy environment based on PFNs and IVPFNs and can deal effectively with the hierarchal structure of criteria.
Journal ArticleDOI
Fermatean fuzzy sets
Tapan Senapati,Ronald R. Yager +1 more
TL;DR: A Fermatean fuzzy TOPSIS method is established to fix multiple criteria decision-making problem and an interpretative example is stated in details to justify the elaborated method and to illustrate its viability and usefulness.
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.
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
How to select and how to rank projects: the promethee method
TL;DR: In this article, the Promethee methods, a new class of outranking methods in multicriteria analysis, have been proposed, whose main features are simplicity, clearness and stability.
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.
Posted Content
How to select and how to rank projects: the Prométhée method
TL;DR: The main features of the Promethee methods are simplicity, clearness and stability, a new class of outranking methods in multicriteria analysis, and some further problems are discussed.