Single Valued Neutrosophic Hesitant Fuzzy Rough Set And Its Application


Single Valued Neutrosophic Hesitant Fuzzy Rough Set And Its Application
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Single Valued Neutrosophic Hesitant Fuzzy Rough Set And Its Application


Single Valued Neutrosophic Hesitant Fuzzy Rough Set And Its Application
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Author : K. M. Alsager
language : en
Publisher: Infinite Study
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Single Valued Neutrosophic Hesitant Fuzzy Rough Set And Its Application written by K. M. Alsager and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, we proposed the notion of single valued neutrosophic hesitant fuzzy rough set, by combining single valued neutrosophic hesitant fuzzy set and rough set. The combination of single valued neutrosophic hesitant fuzzy set and rough set is a powerful tool for dealing with uncertainty, granularity and incompleteness of knowledge in information systems. We presented both definition and some basic properties of the proposed model. Finally, we gave a general approach which is applied to a decision making problem in disease diagnoses, and demonstrated the effectiveness of the approach by a numerical example.



Probabilistic Single Valued Interval Neutrosophic Hesitant Fuzzy Set And Its Application In Multi Attribute Decision Making


Probabilistic Single Valued Interval Neutrosophic Hesitant Fuzzy Set And Its Application In Multi Attribute Decision Making
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Author : Songtao Shao
language : en
Publisher: Infinite Study
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Probabilistic Single Valued Interval Neutrosophic Hesitant Fuzzy Set And Its Application In Multi Attribute Decision Making written by Songtao Shao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



Correlation Coef Cient Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Its Applications In Decision Making


Correlation Coef Cient Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Its Applications In Decision Making
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Author : Rıdvan Sahin
language : en
Publisher: Infinite Study
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Correlation Coef Cient Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Its Applications In Decision Making written by Rıdvan Sahin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS.



Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making


Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making
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Author : Hai-Long Yang
language : en
Publisher: Infinite Study
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Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making written by Hai-Long Yang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information.



Some Distance Measures Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Their Applications To Multiple Attribute Decision Making


Some Distance Measures Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Their Applications To Multiple Attribute Decision Making
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Author : PRANAB BISWAS
language : en
Publisher: Infinite Study
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Some Distance Measures Of Single Valued Neutrosophic Hesitant Fuzzy Sets And Their Applications To Multiple Attribute Decision Making written by PRANAB BISWAS and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Single-valued neutrosophic hesitant fuzzy set is a merged form of single-valued neutrosophic sets and hesitant fuzzy sets. This set is a useful tool to handle imprecise, incomplete and inconsistent information existing in multi-attribute decision making problems. In multi-attribute decision making, distance measures play an important role to take a decision regarding alternatives.



Ns Cross Entropy Based Magdm Under Single Valued Neutrosophic Set Environment


Ns Cross Entropy Based Magdm Under Single Valued Neutrosophic Set Environment
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Author : Surapati Pramanik
language : en
Publisher: Infinite Study
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Ns Cross Entropy Based Magdm Under Single Valued Neutrosophic Set Environment written by Surapati Pramanik and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations.



Two Types Of Single Valued Neutrosophic Covering Rough Sets And An Application To Decision Making


Two Types Of Single Valued Neutrosophic Covering Rough Sets And An Application To Decision Making
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Author : Jingqian Wang
language : en
Publisher: Infinite Study
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Two Types Of Single Valued Neutrosophic Covering Rough Sets And An Application To Decision Making written by Jingqian Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, to combine single valued neutrosophic sets (SVNSs) with covering-based rough sets, we propose two types of single valued neutrosophic (SVN) covering rough set models. Furthermore, a corresponding application to the problem of decision making is presented.



Generalized Single Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators And Their Applications To Multiple Criteria Decision Making


Generalized Single Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators And Their Applications To Multiple Criteria Decision Making
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Author : Rui Wang
language : en
Publisher: Infinite Study
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Generalized Single Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators And Their Applications To Multiple Criteria Decision Making written by Rui Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Medical Diagnosis Based On Single Valued Neutrosophic Probabilistic Rough Multisets Over Two Universes


Medical Diagnosis Based On Single Valued Neutrosophic Probabilistic Rough Multisets Over Two Universes
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Author : Chao Zhang
language : en
Publisher: Infinite Study
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Medical Diagnosis Based On Single Valued Neutrosophic Probabilistic Rough Multisets Over Two Universes written by Chao Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In real-world diagnostic procedures, due to the limitation of human cognitive competence, a medical expert may not conveniently use some crisp numbers to express the diagnostic information, and plenty of research has indicated that generalized fuzzy numbers play a significant role in describing complex diagnostic information.



Measures Of Probabilistic Neutrosophic Hesitant Fuzzy Sets And The Application In Reducing Unnecessary Evaluation Processes


Measures Of Probabilistic Neutrosophic Hesitant Fuzzy Sets And The Application In Reducing Unnecessary Evaluation Processes
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Author : Songtao Shao
language : en
Publisher: Infinite Study
Release Date :

Measures Of Probabilistic Neutrosophic Hesitant Fuzzy Sets And The Application In Reducing Unnecessary Evaluation Processes written by Songtao Shao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Distance measure and similarity measure have been applied to various multi-criteria decision-making environments, like talent selections, fault diagnoses and so on. Some improved distance and similarity measures have been proposed by some researchers. However, hesitancy is reflected in all aspects of life, thus the hesitant information needs to be considered in measures. Then, it can effectively avoid the loss of fuzzy information.