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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Veröffentlicht in:AIMS mathematics Jg. 6; H. 5; S. 4556 - 4580
Hauptverfasser: Ahmadini, Abdullah Ali H., Ahmad, Firoz
Format: Journal Article
Sprache:Englisch
Veröffentlicht: AIMS Press 01.01.2021
Schlagworte:
indeterminacy membership function
intuitionistic fuzzy parameters
multiobjective linear programming problem
neutrosophic optimization technique
ISSN:2473-6988, 2473-6988
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Abstract 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.
AbstractList 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.
Author Ahmad, Firoz
Ahmadini, Abdullah Ali H.
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Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, INDIA
Department of Mathematics, Faculty of Sciences, Jazan University, Jazan, SAUDI ARABIA
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Snippet The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the...
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StartPage 4556
SubjectTerms indeterminacy membership function
intuitionistic fuzzy parameters
multiobjective linear programming problem
neutrosophic optimization technique
Title Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment
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Volume 6
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