Novel decision-making method based on bipolar neutrosophic information

Abstract

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Perfect bipolar fuzzy graphs

“…In this section, let us recall some basic notions and results, which are available in references [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The positive membership degree µ P (x) is used to denote the satisfaction degree of an element x to the property corresponding to a bipolar fuzzy set B, and the negative membership degree µ N (x) to denote the satisfaction degree of an element x to some implicit counter-property corresponding to a bipolar fuzzy set B.…”

Multicriteria Decision-Making Method and Application in the Setting of Trapezoidal Neutrosophic Z-Numbers

“…In fuzzy decision-making problems, various new fuzzy decision-making methods [1][2][3] have received many applications under neutrosophic, simplified neutrosophic hesitant fuzzy, and bipolar neutrosophic environments.…”

“…To express both the continuous Z-numbers of truth, falsity, and indeterminacy membership functions and the reliability measures in MDM problems, it is necessary that this study needs to propose an MDM method based on trapezoidal neutrosophic Z-numbers (TrNZNs) to make up such insufficiencies of existing information expressions and MDM methods in the environments of TrNNs and NZNs. To do so, the main aims of this article are (1) to propose a TrNZN set and some basic operations of TrNZNs, (2) to introduce score and accuracy functions of TrNZN for ranking TrNZNs, (3) to put forward the TrNZNWAA and TrNZNWGA operators for aggregating TrNZNs, (4) to develop a MDM approach using the proposed aggregation operators and score and accuracy functions for solving MDM problems under the environment of TrNZNs, and (5) to apply the established MDM approach to an MDM example of software selection for revealing its efficiency in the setting of TrNZNs. e rest of the article is composed of the following sections.…”

“…us, existing MDM approach in the setting of TrNNs[9] can be used for the special case of the MDM example. In this case, the decision results based on the TrNNWAA and TrNNWGA operators Journal of Mathematics (equations(2) and(3)) and the score function of TrNNs (equation(4)) are introduced from[9], which are shown in…”

Multi-Attribute Decision-Making Based on m-Polar Fuzzy Hamacher Aggregation Operators

“…We observe that almost all AOs used BF numbers, intuitionistic fuzzy numbers, Pythagorean fuzzy numbers, or mF numbers without using Hamacher operations. Akram et al [25][26][27][28][29][30][31] introduced several decision-making techniques. In this research article, our main focus is how to apply Hamacher operators to aggregate the mF information.…”