Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem
In the present communication, a parametric (R, S)-norm information measure for the Pythagorean fuzzy set has been proposed with the proof of its validity. The monotonic behavior and maximality feature of the proposed information measure have been studied and presented. Further, an algorithm for solv...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/8023013 |
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| _version_ | 1832566857463234560 |
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| author | Abhishek Guleria Rakesh Kumar Bajaj |
| author_facet | Abhishek Guleria Rakesh Kumar Bajaj |
| author_sort | Abhishek Guleria |
| collection | DOAJ |
| description | In the present communication, a parametric (R, S)-norm information measure for the Pythagorean fuzzy set has been proposed with the proof of its validity. The monotonic behavior and maximality feature of the proposed information measure have been studied and presented. Further, an algorithm for solving the multicriteria decision-making problem with the help of the proposed information measure has been provided keeping in view of the different cases for weight criteria, when weights are unknown and other when weights are partially known. Numerical examples for each of the case have been successfully illustrated. Finally, the work has been concluded by providing the scope for future work. |
| format | Article |
| id | doaj-art-d5d2c6a1f4f64dae8853c7a554374e7d |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-d5d2c6a1f4f64dae8853c7a554374e7d2025-02-03T01:03:02ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/80230138023013Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making ProblemAbhishek Guleria0Rakesh Kumar Bajaj1Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173 234, Himachal Pradesh, IndiaDepartment of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173 234, Himachal Pradesh, IndiaIn the present communication, a parametric (R, S)-norm information measure for the Pythagorean fuzzy set has been proposed with the proof of its validity. The monotonic behavior and maximality feature of the proposed information measure have been studied and presented. Further, an algorithm for solving the multicriteria decision-making problem with the help of the proposed information measure has been provided keeping in view of the different cases for weight criteria, when weights are unknown and other when weights are partially known. Numerical examples for each of the case have been successfully illustrated. Finally, the work has been concluded by providing the scope for future work.http://dx.doi.org/10.1155/2018/8023013 |
| spellingShingle | Abhishek Guleria Rakesh Kumar Bajaj Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem Advances in Fuzzy Systems |
| title | Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem |
| title_full | Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem |
| title_fullStr | Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem |
| title_full_unstemmed | Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem |
| title_short | Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem |
| title_sort | pythagorean fuzzy r s norm information measure for multicriteria decision making problem |
| url | http://dx.doi.org/10.1155/2018/8023013 |
| work_keys_str_mv | AT abhishekguleria pythagoreanfuzzyrsnorminformationmeasureformulticriteriadecisionmakingproblem AT rakeshkumarbajaj pythagoreanfuzzyrsnorminformationmeasureformulticriteriadecisionmakingproblem |