NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

Mondal, Kalyan; Pramanik, Surapati; Giri, Bibhas C.; Smarandache, Florentín

doi:10.3390/axioms7010012

Cited by 22 publications

(8 citation statements)

References 41 publications

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“…Future works can utilize our proposed TFNNs-MABAC method to risk assessment for MCGDM cases, such as [45][46][47][48][49][50], many other uncertain and fuzzy circumstances [51][52][53][54][55][56][57][58][59][60]. The neutrosophic sets, such as [61][62][63][64][65][66][67][68][69], can be many possible chances to improve our proposed MABAC method for further studies.…”

Section: Discussionmentioning

confidence: 99%

An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems

Irvanizam

Zuhra

et al. 2020

Axioms

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In this manuscript, we extend the traditional multi-attributive border approximation area comparison (MABAC) method for the multiple-criteria group decision-making (MCGDM) with triangular fuzzy neutrosophic numbers (TFNNs) to propose the TFNNs-MABAC method. In the proposed method, we utilize the TFNNs to express the values of criteria for each alternative in MCGDM problems. First, we briefly acquaint the basic concept of TFNNs and describe its corresponding some operation laws, the functions of score and accuracy, and the normalized hamming distance. We then review two aggregation operators of TFNNs. Afterward, we combine the traditional MABAC method with the triangular fuzzy neutrosophic evaluation and provide a sequence of calculation procedures of the TFNNs-MABAC method. After comparing it with some TFNNs aggregation operators and another method, the results showed that our extended MABAC method can not only effectively handle the conflicting attributes, but also practically deal with incomplete and indeterminate information in the MCGDM problem. Therefore, the extended MABAC method is more effective, conformable, and reasonable. Finally, an investment selection problem is demonstrated as a practice to verify the reasonability of our MABAC method.

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Section: Discussionmentioning

confidence: 99%

An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems

Irvanizam

Zuhra

et al. 2020

Axioms

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“…Ye ( 2016 ) and Mondal et al. ( 2018 ) used NNs for group decision making problems. Ye ( 2018 ) formed a neutrosophic number linear programming problem in a NN environment followed by an example of production planning problem with answer as neutrosophic numbers.…”

Section: Literature Reviewmentioning

confidence: 99%

Bilevel transportation problem in neutrosophic environment

Singh

Arora

2022

Comp. Appl. Math.

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In the current times of the predominance of COVID-19, almost all the countries are conducting inoculation drives. Given the market’s inability to compute how much to manufacture, how to transport and the frequently changing demand, the cost of safely and timely transporting the vaccines from factory to syringe is currently indeterminate. In this paper, we formulate this situation using a bilevel transportation problem with neutrosophic numbers (BLTP-NN). The problem comes from a vaccine manufacturing company where the vaccine is produced and then transported to different distribution centres from where it is further transported to various health centres for the conduction of their vaccination drive. The authors have tried to perceive this situation from two perspectives by formulating two different problems. The first problem is a bilevel linear fractional transportation problem which aims at minimizing the transportation cost in proportion to per unit maximization of quantity transported. The second problem is a bilevel indefinite quadratic transportation problem which aims at minimizing the transportation cost and depreciation cost. In both problems, cost coefficients are neutrosophic numbers along with availabilities and demands in the constraint set. These formulated bilevel transportation problems in neutrosophic environment are solved using goal programming strategy to arrive at a satisfactory solution. The relevance of this work is to help the decision makers in budgeting their finances related to the transportation by strategic disbursement leading to a smooth administration of vaccination program.

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“…More information on NS can be seen in Alhabib et al ( 30 ) and Chutia et al ( 31 ). More applications of the neutrosophic numbers can be seen in Ye ( 32 , 33 ), Ye et al ( 34 ), Mondal et al ( 35 , 36 ), Pramanik and Banerjee ( 37 ), and Maiti et al ( 38 ).…”

Section: Introductionmentioning

confidence: 99%

Monitoring Betaine Using Interval Time Between Events Control Chart

Khan

Aslam

2022

Front. Nutr.

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A generalization of moving average (MA) control chart for the exponential distribution under classical statistics is presented in this article. The designing of the MA control chart for the exponential distribution under neutrosophic statistics is also presented. A Monte Carlo simulation under neutrosophic is introduced and applied to determine the neutrosophic control limits coefficients and neutrosophic average run length and neutrosophic standard deviation for various shifts. The application of the proposed chart is given using Betaine data. The comparison and real example studies show the efficiency of the proposed chart over the existing charts.

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NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

Cited by 22 publications

References 41 publications

An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems

An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems

Bilevel transportation problem in neutrosophic environment

Monitoring Betaine Using Interval Time Between Events Control Chart

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