On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2020-03-01
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| Series: | Cybernetics and Information Technologies |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/cait-2020-0001 |
| _version_ | 1811272303484338176 |
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| author | Singh Surender Lalotra Sumita Ganie Abdul Haseeb |
| author_facet | Singh Surender Lalotra Sumita Ganie Abdul Haseeb |
| author_sort | Singh Surender |
| collection | DOAJ |
| description | 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). |
| first_indexed | 2024-04-12T22:36:49Z |
| format | Article |
| id | doaj.art-1055555b30124f288c4dfacc22e37944 |
| institution | Directory Open Access Journal |
| issn | 1314-4081 |
| language | English |
| last_indexed | 2024-04-12T22:36:49Z |
| publishDate | 2020-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Cybernetics and Information Technologies |
| spelling | doaj.art-1055555b30124f288c4dfacc22e379442022-12-22T03:13:49ZengSciendoCybernetics and Information Technologies1314-40812020-03-0120132010.2478/cait-2020-0001On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDMSingh Surender0Lalotra Sumita1Ganie Abdul Haseeb2School of Mathematics, Faculty of Science, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, IndiaSchool of Mathematics, Faculty of Science, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, IndiaSchool of Mathematics, Faculty of Science, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, IndiaTo 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).https://doi.org/10.2478/cait-2020-0001ifssifsstifsst-knowledge measuremcdm |
| spellingShingle | Singh Surender Lalotra Sumita Ganie Abdul Haseeb On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM Cybernetics and Information Technologies ifss ifsst ifsst-knowledge measure mcdm |
| title | On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM |
| title_full | On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM |
| title_fullStr | On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM |
| title_full_unstemmed | On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM |
| title_short | On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM |
| title_sort | on some knowledge measures of intuitionistic fuzzy sets of type two with application to mcdm |
| topic | ifss ifsst ifsst-knowledge measure mcdm |
| url | https://doi.org/10.2478/cait-2020-0001 |
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