scholarly journals The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 496
Author(s):  
Majid Khan ◽  
Muhammad Gulistan ◽  
Mumtaz Ali ◽  
Wathek Chammam
Keyword(s):  
Decision Making ◽  
Data Aggregation ◽  
Aggregation Operators ◽  
Neutrosophic Set ◽  
Modern World ◽  
Imprecise Data ◽  
Potential Threat ◽  
Accuracy And Precision ◽  
Interval Neutrosophic Set ◽  
Vague Data

In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Samrandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS). Neutrosophic cubic set (NCS) is the generalized version of NS and INS. This characteristic makes it an exceptional choice to deal with vague and imprecise data. Aggregation operators are key features of decision-making theory. In recent times several aggregation operators were defined in NCS. The intent of this paper is to generalize these aggregation operators by presenting neutrosophic cubic generalized unified aggregation (NCGUA) and neutrosophic cubic quasi-generalized unified aggregation (NCQGUA) operators. The accuracy and precision are a vital tool to minimize the potential threat in decision making. Generally, in decision making methods, alternatives and criteria are considered to evaluate the better outcome. However, sometimes the decision making environment has more components to express the problem completely. These components are named as the state of nature corresponding to each criterion. This complex frame of work is dealt with by presenting the multi-expert decision-making method (MEDMM).

scholarly journals NC-TODIM Based MAGDM under Neutrosophic Cubic Set Environment

2017 ◽  
Author(s):  
Surapati Pramanik ◽  
Shyamal Dalapati ◽  
Shariful Alam ◽  
Tapan Kumar Roy
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Attenuation Factor ◽  
Neutrosophic Set ◽  
Conduct Sensitivity Analysis ◽  
Todim Method ◽  
Interval Neutrosophic Set ◽  
Ranking Order ◽  
The Impact

Neutrosophic cubic set is the hybridization of the concept of neutrosophic set and interval neutrosophic set. Neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets appear in the current literature. In the present paper we propose the score, accuracy functions for neutrosophic cubic sets and prove their basic properties. We firstly develop TODIM method to solve multi attribute group decision making in neutrosophic cubic set environment, which we call NC-TODIM. Also, we solve a MAGDM problem using the proposed NC-TODIM method to show the applicability and effectiveness of the developed method. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of attenuation factor of losses for multi-attribute group decision making problem.

scholarly journals New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 370 ◽  
Author(s):  
Han Yang ◽  
Xiaoman Wang ◽  
Keyun Qin
Keyword(s):  
Decision Making ◽  
Hamming Distance ◽  
Similarity Measures ◽  
Neutrosophic Set ◽  
Inclusion Relation ◽  
Neutrosophic Sets ◽  
Information Measures ◽  
Interval Neutrosophic Set ◽  
Multi Attribute Decision Making ◽  
Interval Neutrosophic Sets

Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.

scholarly journals MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1187 ◽  
Author(s):  
Khan ◽  
Abdullah ◽  
Mahmood ◽  
Naeem ◽  
Rashid
Keyword(s):  
Decision Making ◽  
Variable Parameter ◽  
Information Aggregation ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Neutrosophic Set ◽  
High Tech ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Prioritized Aggregation Operators

The interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and t-conorm (tcm) can make the information aggregation process more flexible due to a variable parameter. To take full advantage of INS and Sh-Sk operations, in this article, we expanded the Sh-Sk and to IN numbers (INNs) in which the variable parameter takes values from , develop the Sh-Sk operational laws for INNs and discussed its desirable properties. After that, based on these newly developed operational laws, two types of generalized prioritized aggregation operators are established, the generalized IN Sh-Sk prioritized weighted averaging (INSh-SkPWA) operator and the generalized IN Sh-Sk prioritized weighted geometric (INSh-SkPWG) operator. Additionally, we swot a number of valuable characteristics of these intended aggregation operators (AGOs) and created two novel decision-making models to match with multiple-attribute decision-making (MADM) problems under IN information established on INSh-SkPWA and INSh-SkPRWG operators. Finally, an expressive example regarding evaluating the technological innovation capability for the high-tech enterprises is specified to confirm the efficacy of the intended models.

scholarly journals Neutrosophic Cubic Einstein Hybrid Geometric Aggregation Operators with Application in Prioritization Using Multiple Attribute Decision-Making Method

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 346 ◽  
Author(s):  
Gulistan ◽  
Khan ◽  
Kadry ◽  
Alhazaymeh
Keyword(s):  
Decision Making ◽  
Everyday Life ◽  
Decision Maker ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Neutrosophic Set ◽  
Multiple Attribute ◽  
Life Issue

Viable collection is one of the imperative instruments of decision-making hypothesis. Collection operators are not simply the operators that normalize the value; theyrepresent progressively broad values that can underline the entire information. Geometric weighted operators weight the values only, andthe ordered weighted geometric operators weight the ordering position only.Both of these operators tend to the value that relates to the biggest weight segment. Hybrid collection operators beat these impediments of weighted total and request total operators. Hybrid collection operators weight the incentive as well as the requesting position. Neutrosophic cubic sets (NCs) are a classification of interim neutrosophic set and neutrosophic set. This distinguishing of neutrosophic cubic set empowers the decision-maker to manage ambiguous and conflicting data even more productively. In this paper, we characterized neutrosophic cubic hybrid geometric accumulation operator (NCHG) and neutrosophic cubic Einstein hybrid geometric collection operator (NCEHG). At that point, we outfitted these operators upon an everyday life issue which empoweredus to organize the key objective to develop the industry.

scholarly journals m-polar Neutrosophic Generalized Weighted and m-polar Neutrosophic Generalized Einstein Weighted Aggregation Operators to Diagnose Coronavirus (COVID-19)

2020 ◽  
Vol 39 (5) ◽  
pp. 7381-7401
Author(s):  
Masooma Raza Hashmi ◽  
Muhammad Riaz ◽  
Florentin Smarandache
Keyword(s):  
Mathematical Model ◽  
Decision Making ◽  
Comparative Analysis ◽  
Aggregation Operators ◽  
Time Factor ◽  
Innovative Approach ◽  
Neutrosophic Set ◽  
Rational Thinking ◽  
Novel Coronavirus

This manuscript contributes a progressive mathematical model for the analysis of novel coronavirus (COVID-19) and improvement of the victim from COVID-19 with some suitable circumstances. We investigate the innovative approach of the m-polar neutrosophic set (MPNS) to deal with the hesitations and obscurities of objects and rational thinking in decision-making obstacles. In this article, we propose the generalized weighted aggregation and generalized Einstein weighted aggregation operators in the context of m-polar neutrosophic numbers (MPNNs). The motivational aim of this paper is that we present a case study based on data amalgamation for the diagnosis of COVID-19 and examine with the help of MPN-data. By using the proposed technique on generalized operators, we discuss the recovery of the victim with the time factor, proper medication, and some suitable circumstances. Ultimately, we present the advantages and productiveness of the proposed algorithm under the influence of parameter ð to the recovery results. The versatility and superiority of the proposed methodology with some existing approaches can be observed by the comparative analysis.

New dombi aggregation operators on bipolar neutrosophic set with application in multi-attribute decision-making problems

2020 ◽  
pp. 1-18
Author(s):  
Muhammad Gulfam ◽  
Muhammad Khalid Mahmood ◽  
Florentin Smarandache ◽  
Shahbaz Ali
Keyword(s):  
Decision Making ◽  
Aggregation Operators ◽  
Neutrosophic Set ◽  
Comparison Analysis ◽  
Multi Attribute Decision Making ◽  
New Algorithms

In this paper, we investigate two new Dombi aggregation operators on bipolar neutrosophic set namely bipolar neutrosophic Dombi prioritized weighted geometric aggregation (BNDPWGA) and bipolar neutrosophic Dombi prioritized ordered weighted geometric aggregation (BNDPOWGA) by means of Dombi t-norm (TN) and Dombi t-conorm (TCN). We discuss their properties along with proofs and multi-attribute decision making (MADM) methods in detail. New algorithms based on proposed models are presented to solve multi-attribute decision-making (MADM) problems. In contrast, with existing techniques a comparison analysis of proposed methods are also demonstrated to test their validity, accuracy and significance.

scholarly journals An Improved EDAS Method Based on Bipolar Neutrosophic Set and Its Application in Group Decision-Making

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Irvanizam Irvanizam ◽  
Intan Syahrini ◽  
Nawar Nabila Zi ◽  
Natasya Azzahra ◽  
Muhd Iqbal ◽  
...  
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Multiple Criteria ◽  
Neutrosophic Set ◽  
Ideal Solution ◽  
Vikor Method

The bipolar neutrosophic set is a suitable instrument to tackle the information with vagueness, complexity, and uncertainty. In this study, we improved the original EDAS (the evaluation based on distance from average solution) with bipolar neutrosophic numbers (BNNs) for a multiple-criteria group decision-making (MCGDM) problem. We calculated the average solution under all the criteria by two existing aggregation operators of BNNs. Then, we computed the positive distance and the negative distance from each alternative to the average ideal solution and determined the appraisal score of alternatives. Based on these scores, we obtained the ranking result. Finally, we demonstrated the practicability, stability, and capability of the improved EDAS method by analyzing the influence parameters and comparing results with an extended VIKOR method.

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