An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia
Interval Type-2 Fuzzy VIseKriterijumska Optimizacija I Kompromisno Resenje (IT2FVIKOR) technique is one of the techniques of Interval Type-2 Fuzzy Multi-Criteria Decision Making (IT2FMCDM), which was developed to solve problems involving conflicting and multiple objectives. Most of the IT2FVIKOR met...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2023/9270880 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551093206253568 |
|---|---|
| author | Wan Nur Amira Wan Azman Nurnadiah Zamri Siti Sabariah Abas Azimah Ismail Zamali Tarmudi Syibrah Naim Lazim Abdullah |
| author_facet | Wan Nur Amira Wan Azman Nurnadiah Zamri Siti Sabariah Abas Azimah Ismail Zamali Tarmudi Syibrah Naim Lazim Abdullah |
| author_sort | Wan Nur Amira Wan Azman |
| collection | DOAJ |
| description | Interval Type-2 Fuzzy VIseKriterijumska Optimizacija I Kompromisno Resenje (IT2FVIKOR) technique is one of the techniques of Interval Type-2 Fuzzy Multi-Criteria Decision Making (IT2FMCDM), which was developed to solve problems involving conflicting and multiple objectives. Most of the IT2FVIKOR methods are created from linguistic variables based on Interval Type-2 Fuzzy Set (IT2FS) and its generalization, such as Interval Type-2 Fuzzy Numbers (IT2FNs). Recent literature suggests that equitable linguistic scales can offer a better alternative, particularly when IT2FSs have some limitations in handling uncertainty and imbalance. This paper proposes the extended IT2FVIKOR with an equitable linguistic scale and Z-Numbers, where its linguistic scale introduces an equitable balance of positive and negative scales added to the restriction and reliability approach. Different from the typical IT2FVIKOR, which directly utilizes IT2FNs with a positive membership, the proposed method introduces positive and negative membership where each side considers a restriction and reliability approach. Besides, this paper also offers objective weights using fuzzy entropy-based IT2FS to calculate the weights of the extended IT2FVIKOR. The obtained solutions would help decision makers (DMs) identify the best solution to enhance water security projects in terms of finding the best strategies for water supply security in Malaysia. |
| format | Article |
| id | doaj-art-0fcff678b1764e6c93e75e3498aa9587 |
| institution | Kabale University |
| issn | 1687-711X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-0fcff678b1764e6c93e75e3498aa95872025-02-03T06:04:51ZengWileyAdvances in Fuzzy Systems1687-711X2023-01-01202310.1155/2023/9270880An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in MalaysiaWan Nur Amira Wan Azman0Nurnadiah Zamri1Siti Sabariah Abas2Azimah Ismail3Zamali Tarmudi4Syibrah Naim5Lazim Abdullah6Faculty of Informatics and ComputingFaculty of Informatics and ComputingFaculty of Informatics and ComputingEast Coast Environmental Research InstituteFaculty of Computer and Mathematics SciencesComputer & Information ScienceFaculty of Ocean Engineering Technology and InformaticsInterval Type-2 Fuzzy VIseKriterijumska Optimizacija I Kompromisno Resenje (IT2FVIKOR) technique is one of the techniques of Interval Type-2 Fuzzy Multi-Criteria Decision Making (IT2FMCDM), which was developed to solve problems involving conflicting and multiple objectives. Most of the IT2FVIKOR methods are created from linguistic variables based on Interval Type-2 Fuzzy Set (IT2FS) and its generalization, such as Interval Type-2 Fuzzy Numbers (IT2FNs). Recent literature suggests that equitable linguistic scales can offer a better alternative, particularly when IT2FSs have some limitations in handling uncertainty and imbalance. This paper proposes the extended IT2FVIKOR with an equitable linguistic scale and Z-Numbers, where its linguistic scale introduces an equitable balance of positive and negative scales added to the restriction and reliability approach. Different from the typical IT2FVIKOR, which directly utilizes IT2FNs with a positive membership, the proposed method introduces positive and negative membership where each side considers a restriction and reliability approach. Besides, this paper also offers objective weights using fuzzy entropy-based IT2FS to calculate the weights of the extended IT2FVIKOR. The obtained solutions would help decision makers (DMs) identify the best solution to enhance water security projects in terms of finding the best strategies for water supply security in Malaysia.http://dx.doi.org/10.1155/2023/9270880 |
| spellingShingle | Wan Nur Amira Wan Azman Nurnadiah Zamri Siti Sabariah Abas Azimah Ismail Zamali Tarmudi Syibrah Naim Lazim Abdullah An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia Advances in Fuzzy Systems |
| title | An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia |
| title_full | An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia |
| title_fullStr | An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia |
| title_full_unstemmed | An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia |
| title_short | An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia |
| title_sort | extended interval type 2 fuzzy vikor technique with equitable linguistic scales and z numbers for solving water security problems in malaysia |
| url | http://dx.doi.org/10.1155/2023/9270880 |
| work_keys_str_mv | AT wannuramirawanazman anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT nurnadiahzamri anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT sitisabariahabas anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT azimahismail anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT zamalitarmudi anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT syibrahnaim anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT lazimabdullah anextendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT wannuramirawanazman extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT nurnadiahzamri extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT sitisabariahabas extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT azimahismail extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT zamalitarmudi extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT syibrahnaim extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia AT lazimabdullah extendedintervaltype2fuzzyvikortechniquewithequitablelinguisticscalesandznumbersforsolvingwatersecurityproblemsinmalaysia |