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.

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.

Neutrosophic soft set and its application in multicriteria decision making problems

Neutrosophic soft set and its application in multicriteria decision making problems PDF

Author: H. M. Balami

Publisher: Infinite Study

Published:

Total Pages: 27

ISBN-13:

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In this paper, neutrosophic soft set was studied and an observation made of the potential of its application in real life problems, multicriteria decision making problems in particular. To achieve some of the underlying goals, there is a need to de ne certain algebraic operations, namely, restricted intersection, extended intersection and restricted union. Some basic properties emerging from the de nitions are presented and they include union, AND-product and OR-product operations. Some De Morgan's laws and the concept of inclusions are also established in neutrosophic soft set context. Some examples of the application of neutrosophic soft set in decision making problems using level soft sets of neutrosophic soft sets were presented. Furthermore, the concept of weighted neutrosophic soft set were discussed and applied to multicriteria decision making problems.

An approach to Q-neutrosophic soft rings

An approach to Q-neutrosophic soft rings PDF

Author: Majdoleen Abu Qamar

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.

Neutrosophic soft sets with applications in decision making

Neutrosophic soft sets with applications in decision making PDF

Author: Faruk Karaaslan

Publisher: Infinite Study

Published:

Total Pages: 23

ISBN-13:

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We firstly present definitions and properties in study of Maji on neutrosophic soft sets. We then give a few notes on his study. Next, based on Cagman , we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of optimum elements from the alternatives. We finally present examples which shows that the methods can be successfully applied to many problems that contain uncertainties.

SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING

SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING PDF

Author: Faruk Karaaslan

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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In this paper, we introduce the concept of soft neutrosophic classical sets and its set theoretical operations such as; union, intersection, complement, AND-product and OR-product. In addition to these concept and operations, we define four basic types of sets of degenerate elements in a soft neutrosophic classical set. Then, we propose a group decision making method based on soft neutrosophic classical sets, and give algorithm of proposed method. We also make an application of proposed method on a problem including soft neutrosophic classical data.

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).

Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making

Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making PDF

Author: Qaisar Khan

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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Smarandache introduced the concept of neutrosophic set which is the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical tool to handle incomplete, inconsistance and vague information. In this work, we propose the concept of multi Q-single valued neutrosophic soft expert set and its basic operations such as, union, intersection, complement, And and OR.

Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering

Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 452

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.

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