Multiple Attribute Decision-Making Method Using Linguistic Cubic Hesitant Variables

Multiple Attribute Decision-Making Method Using Linguistic Cubic Hesitant Variables
Author: Jun Ye
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:
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Linguistic decision making (DM) is an important research topic in DM theory and methods since using linguistic terms for the assessment of the objective world is very fitting for human thinking and expressing habits. However, there is both uncertainty and hesitancy in linguistic arguments in human thinking and judgments of an evaluated object. Nonetheless, the hybrid information regarding both uncertain linguistic arguments and hesitant linguistic arguments cannot be expressed through the various existing linguistic concepts.

Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making

Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making
Author: Aliya Fahmi
Publisher: Infinite Study
Total Pages: 37
Release:
Genre: Mathematics
ISBN:
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In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

MULTIPLE ATTRIBUTE DECISION-MAKING METHOD UNDER HESITANT SINGLE VALUED NEUTROSOPHIC UNCERTAIN LINGUISTIC ENVIRONMENT

MULTIPLE ATTRIBUTE DECISION-MAKING METHOD UNDER HESITANT SINGLE VALUED NEUTROSOPHIC UNCERTAIN LINGUISTIC ENVIRONMENT
Author: QAISAR KHAN
Publisher: Infinite Study
Total Pages: 17
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Genre:
ISBN:
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Smarandache was the first who introduced the idea of neutrosophic sets (NSs), which is further extension of the concepts of intuitionistic fuzzy sets (IFSs), interval valued intuitionistic fuzzy sets (IVIFSs) from philosophical perspective.

Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers

Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers
Author: Zebo Fang
Publisher: Infinite Study
Total Pages: 12
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Genre:
ISBN:
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Existing intuitionistic linguistic variables can describe the linguistic information of both thetruth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate and inconsistent linguistic information.

Decision Making Methods with Linguistic Neutrosophic Information: A Review

Decision Making Methods with Linguistic Neutrosophic Information: A Review
Author: Minna Xu
Publisher: Infinite Study
Total Pages: 12
Release: 2020-12-01
Genre: Mathematics
ISBN:
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Linguistic neutrosophic information and its extension have been long recognized as a useful tool in decision-making problems in many areas. This paper briefly describes the development process of linguistic neutrosophic information expressions, and gives in-depth studies on seven different concepts and tools. At the same time, a brief evaluation and summary of the decision-making methods of its various measures and aggregation operators are also made. A comparative analysis of different linguistic neutrosophic sets is made with examples to illustrate the effectiveness and practicability of decision making methods based on multiple aggregation operators and measures. Finally, according to the analysis of the current situation of linguistic neutrosophic information, the related trends of its future development are discussed.

An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables

An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 10
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Genre:
ISBN:
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The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
Author: Florentin Smarandache
Publisher: MDPI
Total Pages: 450
Release: 2019-04-04
Genre: Mathematics
ISBN: 3038974757
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Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 450
Release:
Genre: Mathematics
ISBN: 3038974765
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Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators
Author: Songtao Shao
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:
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Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.

Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making

Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making
Author: Huiling Xue
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:
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The neutrosophic cubic sets are an extension of the neutrosophic sets on the cubic sets. It contains three variables, which respectively represent the membership degree, non-membership degree and uncertainty of the element to the set. The score function is an important indicator in the multi-attribute decision-making problem. In this paper, we consider the possibility that an element belongs to a set and put forward the definition of possibility neutrosophic cubic sets. On this basis, we introduce some related concepts and give the binary operation of possibility neutrosophic cubic sets and use specific examples to supplement the corresponding definition. Meanwhile, a decision-making method based on the score function of possibility neutrosophic cubic sets is proposed and a numerical example is given to illustrate the effectiveness of the proposed method.