Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment

被引:15
|
作者
Ahmadini, Abdullah Ali H. [1 ]
Ahmad, Firoz [2 ,3 ]
机构
[1] Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
[2] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh, Uttar Pradesh, India
[3] Indian Stat Inst, SQC&QR Unit, 203 BT Rd, Kolkata 700108, India
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 05期
关键词
intuitionistic fuzzy parameters; indeterminacy membership function; neutrosophic optimization technique; multiobjective linear programming problem; TRANSPORTATION PROBLEMS; DECISION-MAKING; OPTIMIZATION;
D O I
10.3934/math.2021269
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:4556 / 4580
页数:25
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