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- MakaleAçık Erişim2022Scopus SJRQ2Neutrosophic QUALIFLEX based on neutrosophic hesitancy index for selecting a potential antivirus mask supplier over COVID-19 pandemic
Şahin, Rıdvan
In order to handle simultaneously the cardinal and ordinal information in decision-making process, QUALIFLEX (QUALItative FLEXible multiple criteria method) is a very well-known decision-making approach. In this work, we extend the classical QUALIFLEX method to neutrosophic environment and develop a neutrosophic QUALIFLEX (N-QUALIFLEX) method that uses the newly defined distance-based comparison approach. It is highly effective in solving multi-criteria decision problems in which both ratings of alternatives on criteria and weights of criteria are single-valued neutrosophic numbers (SVNNs), and their aggregated values are single-valued neutrosophic hesitant fuzzy numbers (SVNHFNs). A neutrosophic hesitancy index (NHI) of a SVNHN is introduced based on degrees of the truth-membership, indeterminacy-membership and falsity-membership, which is used to measure the degree of hesitancy of SVNHN. Considering the NHIS of SVNHFNs, we propose a distance-based comparison approach to determine the magnitude of the SVNHFNs. Then, we apply the comparison approach to define the concordance/discordance index, the weighted concordance/discordance index and the comprehensive concordance/discordance index that are steps of the developed N-QUALIFLEX. By taking all possible permutations of alternatives with respect to the level of concordance/discordance into account, we determine the order of alternatives in final decision. Finally, a practical example on antivirus mask selection over the COVID-19 pandemic is provided to present the effectiveness and applicability of the proposed method, and a comparative study is conducted to show the advantages of the proposed method over other existing methods.
AtıfScopus3WoS2OpenAlex4İncele - MakaleAçık Erişim2021Scopus SJRQ1A single-valued neutrosophic multicriteria group decision approach with DPL-TOPSIS method based on optimization
Rıdvan, Şahin; Fuat, Aslan; Gökçe Dilek, Küçük
Due to the uncertainty of human subjective judgments, it is sometimes very difficult to obtain accurate evaluation information. The technique for order preference by similarity to ideal solution (TOPSIS) is one of the functional methods used to solve the multicriteria decision-making (MCDM) problems. However, the traditional TOPSIS is based only on a distance measure and takes into account neither a similarity measure nor a likelihood measure. Therefore, in this article, we define two new information measures which are called as the projection and divergence and more functional than some other existing ones in the neutrosophic sets. Then we develop an innovative TOPSIS (DPL-TOPSIS) based on the hybrid closeness coefficient which is an optimization of the divergence (distance), projection (similarity), and likelihood (magnitude) closeness coefficients that can also use separately to make the decision in neutrosophic environment. To develop the DPL-TOPSIS, we define three kinds of analogical factors: the distance-like positive and negative divergence decision-making factors, the similarity-like positive and negative projection decision-making factors, and the magnitude-like positive and negative likelihood decision-making factors. In addition, we provide an objective weight determination model to determine expert judgment with the proposed divergence measure. Finally, to demonstrate the functionality of the developed DPL-TOPSIS, an application has been made on selection of the masks used as one of the protection methods in the COVID-19 epidemic, which has recently affected our world, and the results are compared with other existing methods.
AtıfScopus21WoS10OpenAlex14İncele - MakaleAçık Erişim2020Scopus SJRQ2Multi-criteria decision making approach based on PROMETHEE with probabilistic simplified neutrosophic sets
Altun, Fatma; Şahin, Rıdvan; Güler, Coşkun
Probabilistic simplified neutrosophic set (PSNS) is an important tool to describe the vagueness existing in the real life. In this study, we define a PSNS and discuss some of theoretical set operations of PSNSs. Also we propose the concepts of module on PSNSs, as well as inner product and projection operator between two PSNSs. In relation to this new set, we introduce a probabilistic simplified neutrosophic number (PSNN). A PSNN has three components which is called probabilistic-valued truth membership degree, probabilistic-valued indeterminacy membership degree and probabilistic-valued falsity membership degree, respectively. We give some of algebraic operational rules, a score function and an accuracy function on PSNNs. Furthermore, we introduce two aggregation operators called the probabilistic simplified neutrosophic weighted arithmetic average operator and the probabilistic simplified weighted geometric average operator on PSNNs. Furthermore, we determine weights of criteria with a method that is based on fuzzy measure and develop a method based on preference function to determine weight of each decision maker. We present an extended PROMETHEE method based on PSNSs for group decision problems. Finally, as an application of this theory, we give a practice on a multi-criteria group decision making problem based on PSNNs by using extended PROMETHEE method to ensure stability of the proposed method.
AtıfScopus40WoS18OpenAlex28İncele - MakaleYalnız künye2018Scopus SJRQ2Group decision making with simplified neutrosophic ordered weighted distance operator
Şahin, Rıdvan; Küçük, Gökçe Dilek
Simplified neutrosophic set is a convenient tool proposed for dealing with complex problems; it is effective in providing more data for decision-making process. In this study, we develop a simplified neutrosophic ordered weighted distance operator which combines the neutrosophic distance measures and the ordered weighted average distance in the same formulation. It is a new handy aggregation operator that considers the situations where the input data are represented in simplified neutrosophic numbers, and it also contains diverse distance aggregation operators. Parameterized families of simplified neutrosophic ordered weighted distance operator are handled. Moreover, we establish a new neutrosophic group decision-making method based on the simplified neutrosophic ordered weighted distance operator, which has 2 extended approaches for determining the weights of decision makers and decision attributes in decision-making process, respectively. Finally, an illustrative example demonstrates the application of the proposed method. The effectiveness and advantages of the proposed method are shown by the comparative analysis with existing relative methods.
AtıfScopus12WoS10OpenAlex13İncele