Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment
The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMO...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://awstest.aimspress.com/article/doi/10.3934/math.2021269?viewType=HTML |
| _version_ | 1818866142340448256 |
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| author | Abdullah Ali H. Ahmadini Firoz Ahmad |
| author_facet | Abdullah Ali H. Ahmadini Firoz Ahmad |
| author_sort | Abdullah Ali H. Ahmadini |
| collection | DOAJ |
| description | The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters. The marginal evaluation of each objective is determined by three different membership functions, such as truth, indeterminacy, and falsity membership degrees under the neutrosophic environment. The marginal evaluation of each objective function is elicited by various sorts of membership functions such as linear, exponential, and hyperbolic types of membership functions, which signifies an opportunity for decision-makers to select the desired membership functions. The developed neutrosophic optimization technique is implemented on existing numerical problems that reveal the validity and applicability of the proposed methods. A comparative study is also presented with other approaches. At last, conclusions and future research directions are addressed based on the proposed work. |
| first_indexed | 2024-12-19T10:58:44Z |
| format | Article |
| id | doaj.art-6c2597e751c043468ab600763903bcf0 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T10:58:44Z |
| publishDate | 2021-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6c2597e751c043468ab600763903bcf02022-12-21T20:24:42ZengAIMS PressAIMS Mathematics2473-69882021-02-01654556458010.3934/math.2021269Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environmentAbdullah Ali H. Ahmadini0Firoz Ahmad11. Department of Mathematics, Faculty of Sciences, Jazan University, Jazan, SAUDI ARABIA2. Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, INDIA 3. SQC&OR Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, INDIAThe existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters. The marginal evaluation of each objective is determined by three different membership functions, such as truth, indeterminacy, and falsity membership degrees under the neutrosophic environment. The marginal evaluation of each objective function is elicited by various sorts of membership functions such as linear, exponential, and hyperbolic types of membership functions, which signifies an opportunity for decision-makers to select the desired membership functions. The developed neutrosophic optimization technique is implemented on existing numerical problems that reveal the validity and applicability of the proposed methods. A comparative study is also presented with other approaches. At last, conclusions and future research directions are addressed based on the proposed work.http://awstest.aimspress.com/article/doi/10.3934/math.2021269?viewType=HTMLintuitionistic fuzzy parametersindeterminacy membership functionneutrosophic optimization techniquemultiobjective linear programming problem |
| spellingShingle | Abdullah Ali H. Ahmadini Firoz Ahmad Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment AIMS Mathematics intuitionistic fuzzy parameters indeterminacy membership function neutrosophic optimization technique multiobjective linear programming problem |
| title | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| title_full | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| title_fullStr | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| title_full_unstemmed | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| title_short | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| title_sort | solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment |
| topic | intuitionistic fuzzy parameters indeterminacy membership function neutrosophic optimization technique multiobjective linear programming problem |
| url | http://awstest.aimspress.com/article/doi/10.3934/math.2021269?viewType=HTML |
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