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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Vydáno v:	AIMS mathematics Ročník 6; číslo 5; s. 4556 - 4580
Hlavní autoři:	Ahmadini, Abdullah Ali H., Ahmad, Firoz
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2021
Témata:	indeterminacy membership function intuitionistic fuzzy parameters multiobjective linear programming problem neutrosophic optimization technique
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Shrnutí:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2021269