Knowledge measure for the q‐rung orthopair fuzzy sets

Author(s):  
Muhammad Jabir Khan ◽  
Poom Kumam ◽  
Meshal Shutaywi
Keyword(s):  
2020 ◽  
Vol 20 (1) ◽  
pp. 3-20 ◽  
Author(s):  
Surender Singh ◽  
Sumita Lalotra ◽  
Abdul Haseeb Ganie

AbstractTo overcome the certain limitations of Intuitionistic Fuzzy Sets (IFSs), the notion of Intuitionistic Fuzzy Sets of Second Type (IFSST) was introduced. IFSST is a modified version of IFS for handling some problems in a reasonable manner. Type two Intuitionistic Fuzzy entropy (IFSST-entropy) measures the amount of ambiguity/uncertainty present in an IFSST. In the present paper, we introduce the concept of dual measure of IFSST-entropy, i.e., IFSST-knowledge measure. We develop some IFSST-knowledge measures and prove some of their properties. We also show the superiority of the proposed IFSST-knowledge measures through comparative study. Further, we demonstrate the application of the proposed knowledge measures in Multi-Criteria Decision-Making (MCDM).


2019 ◽  
Vol 8 (2) ◽  
pp. 1536-1542

The role of the fuzzy sets is eminent in the study of the ambiguous type of information. Generalizations and extensions of fuzzy sets have led to a broader analysis of these types of researches. In this communication, we suggest a generalized knowledge measure of an intuitionistic fuzzy set (IFS). We compare several existing intuitionistic fuzzy entropies and knowledge measures with our proposed intuitionistic fuzzy (IF) knowledge measure which indicates that the proposed IF-knowledge measure has a greater ability in discriminating different IFSs. We also apply our proposed intuitionistic fuzzy knowledge measure in multi-attribute decision-making (MADM) problem by using combined weights i.e., objective and subjective attribute weights.


2018 ◽  
Vol 09 (07) ◽  
pp. 874-889
Author(s):  
Zhenhua Zhang ◽  
Shenguo Yuan ◽  
Jing Zhang ◽  
Chao Ma ◽  
Jinhui Xu ◽  
...  

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