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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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
Release Date :

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.



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.



Multi Attribute Decision Making Based On Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators


Multi Attribute Decision Making Based On Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators
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Author : Songtao Shao
language : en
Publisher: Infinite Study
Release Date :

Multi Attribute Decision Making Based On Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators 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.


Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.



Hesitant Probabilistic Fuzzy Linguistic Sets With Applications In Multi Criteria Group Decision Making Problems


Hesitant Probabilistic Fuzzy Linguistic Sets With Applications In Multi Criteria Group Decision Making Problems
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Author : Dheeraj Kumar Joshi
language : en
Publisher: Infinite Study
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Hesitant Probabilistic Fuzzy Linguistic Sets With Applications In Multi Criteria Group Decision Making Problems written by Dheeraj Kumar Joshi 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.


Uncertainties due to randomness and fuzziness comprehensively exist in control and decision support systems.



Correlation Coef Cients Of Probabilistic Hesitant Fuzzy Elements And Their Applications To Evaluation Of The Alternatives


Correlation Coef Cients Of Probabilistic Hesitant Fuzzy Elements And Their Applications To Evaluation Of The Alternatives
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Author : Zhong-xing Wang
language : en
Publisher: Infinite Study
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Correlation Coef Cients Of Probabilistic Hesitant Fuzzy Elements And Their Applications To Evaluation Of The Alternatives written by Zhong-xing 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.


Correlation coefficient is one of the broadly use indexes in multi-criteria decision-making (MCDM) processes.



New Types Of Neutrosophic Set Logic Probability Neutrosophic Over Under Off Set Neutrosophic Refined Set And Their Extension To Plithogenic Set Logic Probability With Applications


New Types Of Neutrosophic Set Logic Probability Neutrosophic Over Under Off Set Neutrosophic Refined Set And Their Extension To Plithogenic Set Logic Probability With Applications
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Author : Florentin Smarandache
language : en
Publisher: MDPI
Release Date : 2019-11-27

New Types Of Neutrosophic Set Logic Probability Neutrosophic Over Under Off Set Neutrosophic Refined Set And Their Extension To Plithogenic Set Logic Probability With Applications written by Florentin Smarandache and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Technology & Engineering categories.


This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.



Fuzzy Mathematics


Fuzzy Mathematics
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Author : Etienne E. Kerre
language : en
Publisher: MDPI
Release Date : 2018-11-28

Fuzzy Mathematics written by Etienne E. Kerre and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-28 with Electronic books categories.


This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics



Collected Papers Volume Ix


Collected Papers Volume Ix
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-05-10

Collected Papers Volume Ix written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-10 with Mathematics categories.


This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.



Fuzzy Techniques For Decision Making 2018


Fuzzy Techniques For Decision Making 2018
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Author : José Carlos R. Alcantud
language : en
Publisher: MDPI
Release Date : 2020-12-02

Fuzzy Techniques For Decision Making 2018 written by José Carlos R. Alcantud and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with Technology & Engineering categories.


Zadeh's fuzzy set theory incorporates the impreciseness of data and evaluations, by imputting the degrees by which each object belongs to a set. Its success fostered theories that codify the subjectivity, uncertainty, imprecision, or roughness of the evaluations. Their rationale is to produce new flexible methodologies in order to model a variety of concrete decision problems more realistically. This Special Issue garners contributions addressing novel tools, techniques and methodologies for decision making (inclusive of both individual and group, single- or multi-criteria decision making) in the context of these theories. It contains 38 research articles that contribute to a variety of setups that combine fuzziness, hesitancy, roughness, covering sets, and linguistic approaches. Their ranges vary from fundamental or technical to applied approaches.



Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets


Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets
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Author : Florentin Smarandache
language : en
Publisher: MDPI
Release Date : 2019-04-04

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets written by Florentin Smarandache and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-04 with Mathematics categories.


Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.