Author: Jun YE
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 24
Book Description
This paper proposes the concept of an interval neutrosophic hesitant fuzzy set (INHFS) and the operational relations of INHFSs. Then, we develop correlation coefficients of INHFSs and investigate the relation between the similarity measures and the correlation coefficients.
Correlation Coefficients of Interval Neutrosophic Hesitant Fuzzy Sets and Its Application in a Multiple Attribute Decision Making Method
Author: Jun YE
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 24
Book Description
This paper proposes the concept of an interval neutrosophic hesitant fuzzy set (INHFS) and the operational relations of INHFSs. Then, we develop correlation coefficients of INHFSs and investigate the relation between the similarity measures and the correlation coefficients.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 24
Book Description
This paper proposes the concept of an interval neutrosophic hesitant fuzzy set (INHFS) and the operational relations of INHFSs. Then, we develop correlation coefficients of INHFSs and investigate the relation between the similarity measures and the correlation coefficients.
ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS
Author: Xindong Peng
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 27
Book Description
In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN).
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 27
Book Description
In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN).
MULTIPLE ATTRIBUTE DECISION-MAKING METHOD UNDER HESITANT SINGLE VALUED NEUTROSOPHIC UNCERTAIN LINGUISTIC ENVIRONMENT
Author: QAISAR KHAN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 17
Book Description
Smarandache was the first who introduced the idea of neutrosophic sets (NSs), which is further extension of the concepts of intuitionistic fuzzy sets (IFSs), interval valued intuitionistic fuzzy sets (IVIFSs) from philosophical perspective.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 17
Book Description
Smarandache was the first who introduced the idea of neutrosophic sets (NSs), which is further extension of the concepts of intuitionistic fuzzy sets (IFSs), interval valued intuitionistic fuzzy sets (IVIFSs) from philosophical perspective.
Probabilistic Single-Valued (Interval) Neutrosophic Hesitant Fuzzy Set and Its Application in Multi-Attribute Decision Making
Author: Songtao Shao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 21
Book Description
The uncertainty and concurrence of randomness are considered when many practical problems are dealt with. To describe the aleatory uncertainty and imprecision in a neutrosophic environment and prevent the obliteration of more data, the concept of the probabilistic single-valued (interval) neutrosophic hesitant fuzzy set is introduced. By definition, we know that the probabilistic single-valued neutrosophic hesitant fuzzy set (PSVNHFS) is a special case of the probabilistic interval neutrosophic hesitant fuzzy set (PINHFS). PSVNHFSs can satisfy all the properties of PINHFSs. An example is given to illustrate that PINHFS compared to PSVNHFS is more general. Then, PINHFS is the main research object. The basic operational relations of PINHFS are studied, and the comparison method of probabilistic interval neutrosophic hesitant fuzzy numbers (PINHFNs) is proposed. Then, the probabilistic interval neutrosophic hesitant fuzzy weighted averaging (PINHFWA) and the probability interval neutrosophic hesitant fuzzy weighted geometric (PINHFWG) operators are presented. Some basic properties are investigated. Next, based on the PINHFWA and PINHFWG operators, a decision-making method under a probabilistic interval neutrosophic hesitant fuzzy circumstance is established. Finally, we apply this method to the issue of investment options. The validity and application of the new approach is demonstrated.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 21
Book Description
The uncertainty and concurrence of randomness are considered when many practical problems are dealt with. To describe the aleatory uncertainty and imprecision in a neutrosophic environment and prevent the obliteration of more data, the concept of the probabilistic single-valued (interval) neutrosophic hesitant fuzzy set is introduced. By definition, we know that the probabilistic single-valued neutrosophic hesitant fuzzy set (PSVNHFS) is a special case of the probabilistic interval neutrosophic hesitant fuzzy set (PINHFS). PSVNHFSs can satisfy all the properties of PINHFSs. An example is given to illustrate that PINHFS compared to PSVNHFS is more general. Then, PINHFS is the main research object. The basic operational relations of PINHFS are studied, and the comparison method of probabilistic interval neutrosophic hesitant fuzzy numbers (PINHFNs) is proposed. Then, the probabilistic interval neutrosophic hesitant fuzzy weighted averaging (PINHFWA) and the probability interval neutrosophic hesitant fuzzy weighted geometric (PINHFWG) operators are presented. Some basic properties are investigated. Next, based on the PINHFWA and PINHFWG operators, a decision-making method under a probabilistic interval neutrosophic hesitant fuzzy circumstance is established. Finally, we apply this method to the issue of investment options. The validity and application of the new approach is demonstrated.
Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications
Author: Huiling Xue
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
Single-valued neutrosophic cubic set is a good tool to solve the vague and uncertain problems because it containsmore information. The article first gives the correlation coefficient of single-valued neutrosophic cubic sets. Then, a decision method is proposed, and an application in pattern recognition is considered. Finally, examples are given to explain the feasibility of thismethod. At the same time, the comparative analysis shows the superiority of this method.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
Single-valued neutrosophic cubic set is a good tool to solve the vague and uncertain problems because it containsmore information. The article first gives the correlation coefficient of single-valued neutrosophic cubic sets. Then, a decision method is proposed, and an application in pattern recognition is considered. Finally, examples are given to explain the feasibility of thismethod. At the same time, the comparative analysis shows the superiority of this method.
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.
Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets
Author: Cengiz Kahraman
Publisher: Springer
ISBN: 3030000451
Category : Technology & Engineering
Languages : en
Pages : 734
Book Description
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
Publisher: Springer
ISBN: 3030000451
Category : Technology & Engineering
Languages : en
Pages : 734
Book Description
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi-Valued Interval Neutrosophic Sets
Author: Wei Yang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order.
Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives
Author: Zhong-xing Wang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 18
Book Description
Correlation coefficient is one of the broadly use indexes in multi-criteria decision-making (MCDM) processes.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 18
Book Description
Correlation coefficient is one of the broadly use indexes in multi-criteria decision-making (MCDM) processes.
Generalized Single-Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators and Their Applications to Multiple Criteria Decision-Making
Author: Rui Wang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19
Book Description
Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19
Book Description
Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process.