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Fixed points of fuzzy neutrosophic soft mapping with decision-making

Author: Muhammad Riaz

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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In this paper, we introduce some operations on a fuzzy neutrosophic soft set (fns-set) by utilizing the theories of fuzzy sets, soft sets and neutrosophic sets. We introduce fns-mappings by using a cartesian product with relations on fns-sets and establish some results on fixed points of an fns-mapping. We present an algorithm to deal with uncertainties in the multi-criteria decision making to slenderize energy crises by using an fns-average operator and a comparison table for fns-sets.

Book Synopsis Fixed points of fuzzy neutrosophic soft mapping with decision-making by : Muhammad Riaz

Download or read book Fixed points of fuzzy neutrosophic soft mapping with decision-making written by Muhammad Riaz and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce some operations on a fuzzy neutrosophic soft set (fns-set) by utilizing the theories of fuzzy sets, soft sets and neutrosophic sets. We introduce fns-mappings by using a cartesian product with relations on fns-sets and establish some results on fixed points of an fns-mapping. We present an algorithm to deal with uncertainties in the multi-criteria decision making to slenderize energy crises by using an fns-average operator and a comparison table for fns-sets.

Neutrosophic Soft Fixed Points

Author: Madad Khan

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniqueness of common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results of the FP, coincidence point (CP) contribute conditions under which maps have solutions.

Book Synopsis Neutrosophic Soft Fixed Points by : Madad Khan

Download or read book Neutrosophic Soft Fixed Points written by Madad Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniqueness of common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results of the FP, coincidence point (CP) contribute conditions under which maps have solutions.

Neutrosophic soft sets with applications in decision making

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.

Book Synopsis Neutrosophic soft sets with applications in decision making by : Faruk Karaaslan

Download or read book Neutrosophic soft sets with applications in decision making written by Faruk Karaaslan and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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.

Book Synopsis An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making by : Majdoleen Abu Qamar

Download or read book An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making written by Majdoleen Abu Qamar and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making

Author: Vakkas Uluçay

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.

Book Synopsis Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making by : Vakkas Uluçay

Download or read book Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making written by Vakkas Uluçay and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.

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

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.

Book Synopsis Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems by : Rana Muhammad Zulqarnain

Download or read book Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems written by Rana Muhammad Zulqarnain and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making

Author: Chiranjibe Jana

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties.

Book Synopsis A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making by : Chiranjibe Jana

Download or read book A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making written by Chiranjibe Jana and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties.

Neutrosophic Multi-Criteria Decision Making

Author: Florentin Smarandache

Publisher: MDPI

Published: 2018-10-12

Total Pages: 207

ISBN-13: 3038972886

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This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

Book Synopsis Neutrosophic Multi-Criteria Decision Making by : Florentin Smarandache

Download or read book Neutrosophic Multi-Criteria Decision Making written by Florentin Smarandache and published by MDPI. This book was released on 2018-10-12 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

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Soft sets (SSs), neutrosophic sets (NSs), and rough sets (RSs) are different mathematical models for handling uncertainties, but they are mutually related. In this research paper, we introduce the notions of soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs) as hybrid models for soft computing.

Book Synopsis Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information by : Muhammad Akram

Download or read book Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information written by Muhammad Akram and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft sets (SSs), neutrosophic sets (NSs), and rough sets (RSs) are different mathematical models for handling uncertainties, but they are mutually related. In this research paper, we introduce the notions of soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs) as hybrid models for soft computing.

Standard Neutrosophic Soft Theory: Some First Results

Author: Bui Cong Cuong

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects.

Book Synopsis Standard Neutrosophic Soft Theory: Some First Results by : Bui Cong Cuong

Download or read book Standard Neutrosophic Soft Theory: Some First Results written by Bui Cong Cuong and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects.