A note on “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number”
This note presents a critical assessment of the paper authored by Sahoo et al. (2022) titled “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number” published in Results in Control and Optimization, volume 6, 100091. The note highlights a not...
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| Vydáno v: | Results in control and optimization Ročník 18; s. 100540 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.03.2025
Elsevier |
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| ISSN: | 2666-7207, 2666-7207 |
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| Abstract | This note presents a critical assessment of the paper authored by Sahoo et al. (2022) titled “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number” published in Results in Control and Optimization, volume 6, 100091. The note highlights a notable shortcoming in the equivalence between two optimization problems, which leads to two incorrect results, containing two theorems and the proposed method for solving intuitionistic fuzzy multi-objective linear fractional optimization problems. |
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| AbstractList | This note presents a critical assessment of the paper authored by Sahoo et al. (2022) titled “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number” published in Results in Control and Optimization, volume 6, 100091. The note highlights a notable shortcoming in the equivalence between two optimization problems, which leads to two incorrect results, containing two theorems and the proposed method for solving intuitionistic fuzzy multi-objective linear fractional optimization problems. |
| ArticleNumber | 100540 |
| Author | Hassanpour, Hassan Tayyebi, Javad |
| Author_xml | – sequence: 1 givenname: Hassan surname: Hassanpour fullname: Hassanpour, Hassan email: hhassanpour@birjand.ac.ir organization: Department of Mathematics, University of Birjand, Birjand, Iran – sequence: 2 givenname: Javad orcidid: 0000-0002-7559-3870 surname: Tayyebi fullname: Tayyebi, Javad email: javadtayyebi@birjandut.ac.ir organization: Department of Industrial Engineering, Faculty of Industrial and Computer Engineering, Birjand University of Technology, Birjand, Iran |
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| Cites_doi | 10.1002/nav.3800090303 10.1016/j.asoc.2014.05.005 10.1016/0305-0548(83)90004-7 |
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| Keywords | Linear fractional programming problems Efficient solutions Multi-objective optimization Pentagonal intuitionistic fuzzy numbers |
| Language | English |
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| References | Wang (b2) 2008; 10 Wu, Chiclana (b3) 2014; 22 Sahoo, Tripathy, Pati (b1) 2022; 6 Zimmermann (b4) 1983; 10 Charnes, Cooper (b5) 1962; 9 Zimmermann (10.1016/j.rico.2025.100540_b4) 1983; 10 Charnes (10.1016/j.rico.2025.100540_b5) 1962; 9 Wu (10.1016/j.rico.2025.100540_b3) 2014; 22 Sahoo (10.1016/j.rico.2025.100540_b1) 2022; 6 Wang (10.1016/j.rico.2025.100540_b2) 2008; 10 |
| References_xml | – volume: 6 year: 2022 ident: b1 article-title: Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number publication-title: Results Control Optim – volume: 9 start-page: 181 year: 1962 end-page: 186 ident: b5 article-title: Programming with linear fractional functionals publication-title: Nav Res Logist Q – volume: 10 start-page: 291 year: 1983 end-page: 298 ident: b4 article-title: Fuzzy mathematical programming publication-title: Comput Oper Res – volume: 22 start-page: 272 year: 2014 end-page: 286 ident: b3 article-title: A risk attitudinal ranking method for interval-valued intuitionistic fuzzy numbers based on novel attitudinal expected score and accuracy functions publication-title: Appl Soft Comput – volume: 10 year: 2008 ident: b2 article-title: Fuzzy number intuitionistic fuzzy arithmetic aggregation operators publication-title: Int J Fuzzy Syst – volume: 9 start-page: 181 issue: 3–4 year: 1962 ident: 10.1016/j.rico.2025.100540_b5 article-title: Programming with linear fractional functionals publication-title: Nav Res Logist Q doi: 10.1002/nav.3800090303 – volume: 22 start-page: 272 year: 2014 ident: 10.1016/j.rico.2025.100540_b3 article-title: A risk attitudinal ranking method for interval-valued intuitionistic fuzzy numbers based on novel attitudinal expected score and accuracy functions publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2014.05.005 – volume: 10 issue: 2 year: 2008 ident: 10.1016/j.rico.2025.100540_b2 article-title: Fuzzy number intuitionistic fuzzy arithmetic aggregation operators publication-title: Int J Fuzzy Syst – volume: 10 start-page: 291 issue: 4 year: 1983 ident: 10.1016/j.rico.2025.100540_b4 article-title: Fuzzy mathematical programming publication-title: Comput Oper Res doi: 10.1016/0305-0548(83)90004-7 – volume: 6 year: 2022 ident: 10.1016/j.rico.2025.100540_b1 article-title: Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number publication-title: Results Control Optim |
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| SubjectTerms | Efficient solutions Linear fractional programming problems Multi-objective optimization Pentagonal intuitionistic fuzzy numbers |
| Title | A note on “Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number” |
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