An approach towards decision making and shortest path problems using the concepts of interval‐valued Pythagorean fuzzy information

2019 ◽  
Vol 34 (10) ◽  
pp. 2403-2428 ◽  
Author(s):  
Naeem Jan ◽  
Muhammad Aslam ◽  
Kifayat Ullah ◽  
Tahir Mahmood ◽  
Jun Wang
2020 ◽  
Vol 22 (5) ◽  
pp. 1521-1534
Author(s):  
Lemnaouar Zedam ◽  
Naeem Jan ◽  
Ewa Rak ◽  
Tahir Mahmood ◽  
Kifayat Ullah

2018 ◽  
Vol 29 (1) ◽  
pp. 393-408 ◽  
Author(s):  
Khaista Rahman ◽  
Saleem Abdullah ◽  
Muhammad Sajjad Ali Khan

Abstract In this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable properties, such as idempotency, boundedness, commutativity, and monotonicity. The main advantage of using the proposed operators is that these operators give a more complete view of the problem to the decision makers. These operators provide more accurate and precise results as compared the existing method. Finally, we apply these operators to deal with multiple-attribute group decision making under interval-valued Pythagorean fuzzy information. For this, we construct an algorithm for multiple-attribute group decision making. Lastly, we also construct a numerical example for multiple-attribute group decision making.


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