<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

Publié en ligne: 27 mars 2020

Pages: 3 - 20

Reçu: 27 nov. 2019

Accepté: 21 févr. 2020

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

Mots clés
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

Publié en ligne: 27 mars 2020

Pages: 3 - 20

Reçu: 27 nov. 2019

Accepté: 21 févr. 2020

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

Mots clésIFSs, 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.

Mots clés
IFSs, IFSST, IFSST-knowledge measure, MCDM