Author: Zhang-peng Tian
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Fuzzy sets (FSs), which were proposed by Zadeh (1965), are regarded as a comprehensive tool for solving multi-criteria decision-making(MCDM)problems(Bellman&Zadeh,1970).
Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets
Author: Zhang-peng Tian
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Fuzzy sets (FSs), which were proposed by Zadeh (1965), are regarded as a comprehensive tool for solving multi-criteria decision-making(MCDM)problems(Bellman&Zadeh,1970).
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Fuzzy sets (FSs), which were proposed by Zadeh (1965), are regarded as a comprehensive tool for solving multi-criteria decision-making(MCDM)problems(Bellman&Zadeh,1970).
Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets
Author: Zhang-peng Tian
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
In this paper, two optimisation models are established to determine the criterion weights in multi-criteria decision-making situations where knowledge regarding the weight information is incomplete and the criterion values are interval neutrosophic numbers.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
In this paper, two optimisation models are established to determine the criterion weights in multi-criteria decision-making situations where knowledge regarding the weight information is incomplete and the criterion values are interval neutrosophic numbers.
Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment
Author: Harish Garg
Publisher: Infinite Study
ISBN:
Category : Business & Economics
Languages : en
Pages : 25
Book Description
The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.
Publisher: Infinite Study
ISBN:
Category : Business & Economics
Languages : en
Pages : 25
Book Description
The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.
Neutrosophic Multi-Criteria Decision Making
Author: Florentin Smarandache
Publisher: MDPI
ISBN: 3038972886
Category : Mathematics
Languages : en
Pages : 207
Book Description
This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
Publisher: MDPI
ISBN: 3038972886
Category : Mathematics
Languages : en
Pages : 207
Book Description
This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function
Author: KANIKA MANDAL
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20
Book Description
Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20
Book Description
Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set.
A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers
Author: Xiaohui Wu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems.
Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set
Author: Wen Jiang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.
Multi-criteria decision making method based on similarity measures under single-valued neutrosophic refined and interval neutrosophic refined environments
Author: Faruk Karaaslan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21
Book Description
In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21
Book Description
In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets.
Two New Approaches for Multi-Attribute Group Decision-Making With Interval-Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights
Author: LI-PING ZHOU
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24
Book Description
This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. First, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are dened and their related properties are investigated. Based on these new operational laws, some new aggregation operators for IVNNs are developed including the interval-valued neutrosophic Frank weighted averaging (IVNFWA) operator and the interval-valued neutrosophic Frank weighted geometric (IVNFWG) operator. Then some desirable properties and special cases of these new operators are further discussed. To solve the MAGDM with IVNNs, the weights of decision makers (DMs) are determined by using extended technique for order preference by similarity to ideal solution (TOPSIS) method based on cross-entropy. Additionally, attribute weights are determined based on the similarity degrees between alternatives and the absolute ideal solutions. Further, two new decision-making approaches for MAGDM with IVNNs are put forward by means of the IVNFWA and IVNFWG operators, respectively.Finally, a case study of selecting an agricultural socialization service provider is analyzed to illustrate the practicality and effectiveness of the developed two approaches.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24
Book Description
This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. First, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are dened and their related properties are investigated. Based on these new operational laws, some new aggregation operators for IVNNs are developed including the interval-valued neutrosophic Frank weighted averaging (IVNFWA) operator and the interval-valued neutrosophic Frank weighted geometric (IVNFWG) operator. Then some desirable properties and special cases of these new operators are further discussed. To solve the MAGDM with IVNNs, the weights of decision makers (DMs) are determined by using extended technique for order preference by similarity to ideal solution (TOPSIS) method based on cross-entropy. Additionally, attribute weights are determined based on the similarity degrees between alternatives and the absolute ideal solutions. Further, two new decision-making approaches for MAGDM with IVNNs are put forward by means of the IVNFWA and IVNFWG operators, respectively.Finally, a case study of selecting an agricultural socialization service provider is analyzed to illustrate the practicality and effectiveness of the developed two approaches.
Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making
Author: Yongfeng Pang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20
Book Description
In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20
Book Description
In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information.