An Extended Si nglengle-valued Neutrosophic Normalized Weighted Bonferroni Mean Einstein Aggregation Operator PDF Download
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Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
In order to deal with the indeterminate information and inconsistent information existing common in real decision making problems, an extended Single-valued Neutrosophic Normalized Weighted Bonferroni Mean (SVNNWBM) aggregation operator based on Einstein operations is proposed under single-valued neutrosophic environment. The novel SVNNWBM aggregation operator can not only take into account the interrelationship of the input arguments, but also overcome the shortcomings of unreasonable operations in some cases. Meanwhile, some new operational laws based on Einstein are defined, and some desirable properties of the proposed operator are analyzed. In addition, a decision making method based on the novel operator is given. Finally, to solve multi-criteria decision-making (MCDM) problems, an illustrative example based on the SVNNWBM operator and cosine similarity measure is shown to verify the effectiveness and practicality of the proposed method.
Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
Get Book Here
Book Description
In order to deal with the indeterminate information and inconsistent information existing common in real decision making problems, an extended Single-valued Neutrosophic Normalized Weighted Bonferroni Mean (SVNNWBM) aggregation operator based on Einstein operations is proposed under single-valued neutrosophic environment. The novel SVNNWBM aggregation operator can not only take into account the interrelationship of the input arguments, but also overcome the shortcomings of unreasonable operations in some cases. Meanwhile, some new operational laws based on Einstein are defined, and some desirable properties of the proposed operator are analyzed. In addition, a decision making method based on the novel operator is given. Finally, to solve multi-criteria decision-making (MCDM) problems, an illustrative example based on the SVNNWBM operator and cosine similarity measure is shown to verify the effectiveness and practicality of the proposed method.
Author: Changxing Fan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
Linguistic neutrosophic numbers (LNN) is presented by Fang and Ye in 2017, which can describe the truth, falsity, and indeterminacy linguistic information independently. In this paper, the LNN and the Bonferroni mean operator are merged together to propose a LNN normalized weighted Bonferroni mean (LNNNWBM) operator and a LNN normalized weighted geometric Bonferroni mean (LNNNWGBM) operator and the properties of these two operators are proved.
Author: Jiqian Chen
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantage of good flexibility with the operational parameter.
Author: Zhang-peng
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
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Book Description
The main purpose of this paper is to provide a method of multi-criteria decision-making that combines simplified neutrosophic linguistic sets and normalized Bonferroni mean operator to address the situations where the criterion values take the form of simplified neutrosophic linguistic numbers and the criterion weights are known. Firstly, the new operations and comparison method for simplified neutrosophic linguistic numbers are defined and some linguistic scale functions are employed. Subsequently, a Bonferroni mean operator and a normalized weighted Bonferroni mean operator of simplified neutrosophic linguistic numbers are developed, in which some desirable characteristics and special cases with respect to the parameters p and q in Bonferroni mean operator are studied.
