Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis

Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis
Author: Donghai Liu
Publisher: Infinite Study
Total Pages: 10
Release:
Genre: Mathematics
ISBN:
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Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.

A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic Sets and its Application in Medical Diagnosis

A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic Sets and its Application in Medical Diagnosis
Author: Vakkas Ulucay
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: Mathematics
ISBN:
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The aim of this paper is to introduce a new distance-based similarity measure for refined neutrosophic sets. The properties of the proposed new distance-based similarity measure have been studied and the findings are applied in medical diagnosis of some diseases with a common set of symptoms.

Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis

Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis
Author: Surapati Pramanik
Publisher: Infinite Study
Total Pages: 9
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Genre:
ISBN:
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In this paper, we define a rough cosine similarity measure between two rough neutrosophic sets. The notions of rough neutrosophic sets (RNS) will be used as vector representations in 3D-vector space. The rating of all elements in RNS is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed method.

Neutrosophic Sets and Systems, Vol. 38, 2020

Neutrosophic Sets and Systems, Vol. 38, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 662
Release:
Genre: Mathematics
ISBN:
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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 970
Release: 2022-09-01
Genre: Mathematics
ISBN:
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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, Vol. 47, 2021

Neutrosophic Sets and Systems, Vol. 47, 2021
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 652
Release: 2021-12-30
Genre: Antiques & Collectibles
ISBN:
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Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis

Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis
Author: Harish Garg and Nancy
Publisher: Infinite Study
Total Pages: 20
Release:
Genre:
ISBN:
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Single-valued neutrosophic sets (SVNSs) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, area more flexible way to capture uncertainty.

On Some Similarity Measures of Single Valued Neutrosophic Rough Sets.

On Some Similarity Measures of Single Valued Neutrosophic Rough Sets.
Author: K. Mohana
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:
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In this paper we have obtained the similarity measures between single valued neutrosophic rough sets by analyzing the concept of its distance between them and studied its properties. Further we have studied its similarity based on its membership degrees and studied its properties. We have also defined the cardinality of two single valued neutrosophic rough sets. A numerical example in medical diagnosis is given for the proposed similarity measure of the single valued neutrosophic rough sets which helps us to prove the usefulness and flexibility of the proposed method.

Neutrosophic Cubic MCGDM Method Based on Similarity Measure

Neutrosophic Cubic MCGDM Method Based on Similarity Measure
Author: Surapati Pramanik
Publisher: Infinite Study
Total Pages: 13
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Genre:
ISBN:
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The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and interval valued neutrosophic set.

Neutrosophic Sets and Systems, book series, Vol. 16, 2017

Neutrosophic Sets and Systems, book series, Vol. 16, 2017
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 100
Release:
Genre:
ISBN: 1599735261
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Contributors to current issue (listed in papers' order): Ferhat Taș, Selçuk Topal, P. Iswarya, Dr. K. Bageerathi, I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, R. Narmada Devi, Md. Hanif Page, R. Cabezas Padilla, J. González Ruiz, M. Villegas Alava, M. Leyva Vázquez, Okpako Abugor Ejaita, Asagba P.O., F. Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy, Eman.M.El-Nakeeb, Hewayda ElGhawalby, A.A. Salama, S.A.El-Hafeez, Kanika Bhutani, Swati Aggarwal, N. Abbas, Y. Chibani, B. Hadjadji, Z. A. Omar, Suriana Alias, Daud Mohamad, Adibah Shuib, E. J. Henríquez Antepara, J. E. Arízaga Gamboa, M. R. Campoverde Méndez, M. E. Peña González, Nguyen Xuan Thao, Nguyen Van Dinh. Papers in current issue (listed in papers' order): Bèzier Curve Modeling for Neutrosophic Data Problem; A Study on Neutrosophic Frontier and Neutrosophic Semi-frontier in Neutrosophic Topological Spaces; On Some New Notions and Functions in Neutrosophic Topological Spaces; Neutrosophic Baire Spaces; A Knowledge-based Recommendation Framework using SVN Numbers; An Improved Framework for Diagnosing Confusable Diseases Using Neutrosophic Based Neural Network; Compact Open Topology and Evaluation Map via Neutrosophic Sets; On Neutrosophic Semi-Supra Open Set and Neutrosophic Semi-Supra Continuous Functions; Neutrosophic Cubic MCGDM Method Based on Similarity Measure; Neutrosophic Crisp Mathematical Morphology; Neutrosophic Rough Soft Set - A Decision Making Approach to Appendicitis Problem; PCR5 and Neutrosophic Probability in Target Identification (revisited); Rough Neutrosophic Multisets; Competencies Interdepencies Analysis based on Neutrosophic Cognitive Mapping; Support-Neutrosophic Set: A New Concept in Soft Computing.