Entropy Measures on Neutrosophic Soft Sets and Its Application in Multi Attribute Decision Making

Entropy Measures on Neutrosophic Soft Sets and Its Application in Multi Attribute Decision Making PDF

Author: I. Arockiarani

Publisher: Infinite Study

Published:

Total Pages: 5

ISBN-13:

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The focus of the paper is to furnish the entropy measure for a neutrosophic set and neutrosophic soft set which is a measure of uncertainty and it permeates discourse and system. Various characterization of entropy measures are derived. Further we exemplify this concept by applying entropy in various real time decision making problems.

Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making

Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making PDF

Author: Shio Gai Quek

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corresponding degree of appurtenance of the element to the set with respect to the given criteria. In order to obtain a better accuracy and for a more exact exclusion (partial order), a contradiction or dissimilarity degree is defined between each attribute value and the dominant attribute value. In this paper, entropy measures for plithogenic sets have been introduced.

New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making

New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making PDF

Author: Han Yang

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.

Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications

Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications PDF

Author: Majdoleen Abu Qamar

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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In this study, the tools that measure the similarity, distance and the degree of fuzziness of Q-neutrosophic soft sets are presented. The definitions of distance, similarity and measures of entropy are introduced. Some formulas for Q-neutrosophic soft entropy were presented. The known Hamming, Euclidean and their normalized distances are generalized to make them well matched with the idea of Q-neutrosophic soft set. The distance measure is subsequently used to define the measure of similarity. Lastly, we expound three applications of the measures of Q-neutrosophic soft sets by applying entropy and the similarity measure to a medical diagnosis and decision making problems.

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making PDF

Author: Majdoleen Abu Qamar

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation.

Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems

Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems PDF

Author: Rana Muhammad Zulqarnain

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process.

New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making

New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making PDF

Author: Ali AYDOĞDU

Publisher: Infinite Study

Published:

Total Pages: 6

ISBN-13:

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Our aim in this work is to obtain two new entropy measures for single valued neutrosophic sets (SVNSs) and interval neutrosophic sets (INSs). Moreover, we give the essential properties of the proposed entropies. Finally, we introduce a numerical example to show that the entropy measures are more reliable and reasonable for representing the degree of uncertainty.

Neutrosophic soft sets forecasting model for multi-attribute time series

Neutrosophic soft sets forecasting model for multi-attribute time series PDF

Author: Hongjun Guan

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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Traditional time series forecasting models mainly assume a clear and definite functional relationship between historical values and current/future values of a dataset. In this paper, we extended current model by generating multi-attribute forecasting rules based on consideration of combining multiple related variables. In this model, neutrosophic soft sets (NSSs) are employed to represent historical statues of several closely related attributes in stock market such as volumes, stock market index and daily amplitudes.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-09-01

Total Pages: 970

ISBN-13:

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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).

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