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Author: Zhikang Lu
Publisher: Infinite Study
Published:
Total Pages: 13
ISBN-13:
DOWNLOAD EBOOKSingle-valued neutrosophic numbers (SVNNs) can express incomplete, indeterminate, and inconsistent information in the real world. Then, the common weighted aggregation operators of SVNNs may result in unreasonably aggregated results in some situations.
Author: Lilian Shi
Publisher: Infinite Study
Published:
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKNeutrosophic cubic sets (NCSs) can express complex multi-attribute decision-making (MADM) problems with its interval and single-valued neutrosophic numbers simultaneously. The weighted arithmetic average (WAA) and geometric average (WGA) operators are common aggregation operators for handling MADM problems. However, the neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators may result in some unreasonable aggregated values in some cases. In order to overcome the drawbacks of the NCWAA and NCWGA, this paper developed a new neutrosophic cubic hybrid weighted arithmetic and geometric aggregation (NCHWAGA) operator and investigates its suitability and effectiveness. Then, we established a MADM method based on the NCHWAGA operator. Finally, a MADM problem with neutrosophic cubic information was provided to illustrate the application and effectiveness of the proposed method.
Author: Zhikang Lu
Publisher: Infinite Study
Published:
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKSingle-valued neutrosophic numbers (SVNNs) can express incomplete, indeterminate, and inconsistent information in the real world.
Author: Irfan Deli
Publisher: Infinite Study
Published:
Total Pages: 20
ISBN-13:
DOWNLOAD EBOOKIn this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.
Author: Li Wang
Publisher: Infinite Study
Published:
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKAs a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multi-attribute decision-making problems based on the proposed operators.
Author: Harish Garg & Nancy
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKNeutrosophic sets (NS) contain the three ranges: truth, indeterminacy, and falsity membership degrees, and are very useful for describing and handling the uncertainties in the real life problem.
Author: Muhammad Jamil
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKThe present study aims to introduce the notion of bipolar neutrosophicHamacher aggregation operators and to also provide its application in real life. Then neutrosophic set (NS) can elaborate the incomplete, inconsistent, and indeterminate information, Hamacher aggregation operators, and extended Einstein aggregation operators to the arithmetic and geometric aggregation operators. First, we give the fundamental definition and operations of the neutrosophic set and the bipolar neutrosophic set. Our main focus is on the Hamacher aggregation operators of bipolar neutrosophic, namely, bipolar neutrosophic Hamacher weighted averaging (BNHWA), bipolar neutrosophic Hamacher ordered weighted averaging (BNHOWA), and bipolar neutrosophic Hamacher hybrid averaging (BNHHA) along with their desirable properties. The prime gain of utilizing the suggested methods is that these operators progressively provide total perspective on the issue necessary for the decision makers. These tools provide generalized, increasingly exact, and precise outcomes when compared to the current methods. Finally, as an application, we propose new methods for the multi-criteria group decision-making issues by using the various kinds of bipolar neutrosophic operators with a numerical model. This demonstrates the usefulness and practicality of this proposed approach in real life.
Author: P. D. Liu
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKWith respect to the interval neutrosophic Multi-Attribute Decision-Making (MADM) problems, the MADM method is developed based on some interval neutrosophic aggregation operators.
Author: Chiranjibe Jana
Publisher: Infinite Study
Published:
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOKMolodtsov 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.
Author: Zhikang Lu
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOKAs an extension of an intuitionistic fuzzy set, a single-valued neutrosophic set is described independently by the membership functions of its truth,indeterminacy, andfalsity, which is as ubclass of a neutrosophic set (NS). However, in existing exponential operations and their aggregation methods for neutrosophic numbers (NNs) (basic elements in NSs), the exponents (weights) are positive real numbers in unit intervals under neutrosophic decision-making environments.
