<abstract xmlns="http://www.w3.org/1999/xhtml"><p>To 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).</p></abstract>

To 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).

On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

To overcome the certain limitations of Intuitionistic Fuzzy Sets (IFSs), the notion of Intuitionistic Fuzzy Sets of Second Type (IFSST) was introduced. IFSST...

On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM

Published Online: Mar 27, 2020

Page range: 3 - 20

Received: Nov 27, 2019

Accepted: Feb 21, 2020

DOI: https://doi.org/10.2478/cait-2020-0001

Keywords
IFSs, IFSST, IFSST-knowledge measure, MCDM

© 2020 Surender Singh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM

Published Online: Mar 27, 2020

Page range: 3 - 20

Received: Nov 27, 2019

Accepted: Feb 21, 2020

DOI: https://doi.org/10.2478/cait-2020-0001

KeywordsIFSs, IFSST, IFSST-knowledge measure, MCDM

© 2020 Surender Singh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
IFSs, IFSST, IFSST-knowledge measure, MCDM