Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process

2018 ◽  
Vol 33 (6) ◽  
pp. 1234-1263 ◽  
Author(s):  
Harish Garg
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Decision Making Process ◽  
Pythagorean Fuzzy Sets

scholarly journals The n-Pythagorean Fuzzy Sets

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1772
Author(s):  
Anna Bryniarska
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Quadratic Function ◽  
Intuitionistic Fuzzy Sets ◽  
Membership Functions ◽  
Power Functions ◽  
Pythagorean Fuzzy Sets ◽  
Conceptual Apparatus ◽  
Intuitionistic Fuzzy ◽  
Classic Theory

The following paper presents deductive theories of n-Pythagorean fuzzy sets (n-PFS). N-PFS objects are a generalization of the intuitionistic fuzzy sets (IFSs) and the Yager Pythagorean fuzzy sets (PFSs). Until now, the values of membership and non-membership functions have been described on a one-to-one scale and a quadratic function scale. There is a symmetry between the values of this membership and non-membership functions. The scales of any power functions are used here in order to increase the scope of the decision-making problems. The theory of n-PFS introduces a conceptual apparatus analogous to the classic theory of Zadeh fuzzy sets, consistently striving to correctly define the n-PFS algebra.

Cubic Pythagorean fuzzy sets and their application to multi-attribute decision making with unknown weight information

2019 ◽  
Vol 37 (1) ◽  
pp. 1529-1544 ◽  
Author(s):  
Syed Zaheer Abbas ◽  
Muhammad Sajjad Ali Khan ◽  
Saleem Abdullah ◽  
Huafei Sun ◽  
Fawad Hussain
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Pythagorean Fuzzy Sets ◽  
Multi Attribute Decision Making
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