scholarly journals Cubic Vague Set and its Application in Decision Making

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 963
Author(s):  
Khaleed Alhazaymeh ◽  
Yousef Al-Qudah ◽  
Nasruddin Hassan ◽  
Abdul Muhaimin Nasruddin
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Real Life ◽  
Hybrid Structure ◽  
Two Dimensional ◽  
Vague Set ◽  
Vague Sets ◽  
Important Concept ◽  
Numerical Example ◽  
Life Phenomena

From the hybrid nature of cubic sets, we develop a new generalized hybrid structure of cubic sets known as cubic vague sets (CVSs). We also define the concept of internal cubic vague sets (ICVSs) and external cubic vague sets (ECVSs) with examples and discuss their interesting properties, including ICVSs and ECVSs under both P and R-Order. Moreover, we prove that the R and R-intersection of ICVSs (or ECVSs) need not be an ICVS (or ECVS). We also derive the different conditions for P-union (P-intersection, R and R-intersection) operations of both ICVSs (ECVSs) to become an ICVS (ECVS). Finally, we introduce a decision-making based on the proposed similarity measure of the CVSs domain and a numerical example is given to elucidate that the proposed similarity measure of CVSs is an important concept for measuring entropy in the information/data. It will be shown that the cubic vague set has the novelty to accurately represent and model two-dimensional information for real-life phenomena that are periodic in nature.

scholarly journals Vector Similarity Measures of Q-Linguistic Neutrosophic Variable Sets and Their Multi-Attribute Decision Making Method

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 531 ◽  
Author(s):  
Jun Ye ◽  
Zebo Fang ◽  
Wenhua Cui
Keyword(s):  
Decision Making ◽  
Real Life ◽  
Similarity Measures ◽  
Two Dimensional ◽  
Linguistic Terms ◽  
Multi Attribute Decision Making ◽  
First Time

Since language is used for thinking and expressing habits of humans in real life, the linguistic evaluation for an objective thing is expressed easily in linguistic terms/values. However, existing linguistic concepts cannot describe linguistic arguments regarding an evaluated object in two-dimensional universal sets (TDUSs). To describe linguistic neutrosophic arguments in decision making problems regarding TDUSs, this study proposes a Q-linguistic neutrosophic variable set (Q-LNVS) for the first time, which depicts its truth, indeterminacy, and falsity linguistic values independently corresponding to TDUSs, and vector similarity measures of Q-LNVSs. Thereafter, a linguistic neutrosophic multi-attribute decision-making (MADM) approach by using the presented similarity measures, including the cosine, Dice, and Jaccard measures, is developed under Q-linguistic neutrosophic setting. Lastly, the applicability and effectiveness of the presented MADM approach is presented by an illustrative example under Q-linguistic neutrosophic setting.

Supplier/partner selection in agile supply chain

2016 ◽  
Vol 23 (4) ◽  
pp. 866-892 ◽  
Author(s):  
Chhabi Ram Matawale ◽  
Saurav Datta ◽  
S.S. Mahapatra
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Set Theory ◽  
Membership Function ◽  
Supplier Selection ◽  
Partner Selection ◽  
Content Type ◽  
Vague Set ◽  
Vague Sets ◽  
Agile Supply Chain

Purpose – The concept of agile supply chain (ASC) has become increasingly important as means of achieving a competitive edge in turbulent business environments. An ASC is a dynamic alliance of member enterprises, the adaptation of which is likely to introduce velocity, responsiveness and flexibility into the manufacturing system. In ASC management, supplier/partner selection is a key strategic concern; influenced by various agility-related criteria/attributes. Therefore, evaluation and selection of potential supplier in an ASC has become an important multi-criteria decision-making problem. The purpose of this paper is to report, a supplier selection procedure (module) in the context of ASC. Design/methodology/approach – During supplier selection, subjectivity of evaluation information (human judgment) often creates conflict and bears some kind of uncertainty. To overcome this, the present work attempts to explore vague set theory to deal with uncertainties in the supplier selection decision-making process. Since, vague sets can provide more accurate information as compared to fuzzy sets. It considers true membership function as well as false membership function which give more superior results for uncertain information. In this procedure, first, linguistic variables have been used to assess appropriateness rating (performance extent) as well as priority weights for individual quantitative or qualitative criterions. Second, the concept of degree of similarity and probability of vague sets has been used to determine appropriate ranking order of the potential supplier alternatives. Findings – A case empirical example has been provided. It has been proved that the methodology would be fruitful in considering different evaluation criterion (indices); may be contradicting in nature like beneficial and cost criterions. The application of vague set theory has also been proved as a better option to work under uncertain (fuzzy) decision-making environment in comparison to fuzzy set theory. Originality/value – The application of vague set theory in multi-criteria group decision making has been reported in literature to a limited extent. Application of vague set as a decision-making tool in agile supplier selection appears relative new and unexplored work area. The work has got remarkable managerial implications.

scholarly journals n-Valued Refined Neutrosophic Soft Sets and their Applications in Decision Making Problems and Medical Diagnosis

2018 ◽  
Vol 8 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Shawkat Alkhazaleh ◽  
Ayman A. Hazaymeh
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Medical Diagnosis ◽  
Similarity Measures ◽  
Soft Set ◽  
Soft Sets ◽  
Numerical Example

Abstract In this work we use the concept of a ‘n’-valued refined neutrosophic soft sets and its properties to solve decision making problems, Also a similarity measure between two ‘n’-valued refined neutrosophic soft sets are proposed. A medical diagnosis (MD) method is established for ‘n’-valued refined neutrosophic soft set setting using similarity measures. Lastly a numerical example is given to demonstrate the possible application of similarity measures in medical diagnosis (MD).

scholarly journals Similarity Measure of Lattice Ordered Multi-Fuzzy Soft Sets Based on Set Theoretic Approach and Its Application in Decision Making

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1255 ◽  
Author(s):  
Sabeena Begam S ◽  
Vimala J ◽  
Ganeshsree Selvachandran ◽  
Tran Thi Ngan ◽  
Rohit Sharma
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Similarity Measure ◽  
Real Life ◽  
Soft Set ◽  
Theoretic Approach ◽  
Mathematical Tool ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Fuzzy Soft Sets

Many effective tools in fuzzy soft set theory have been proposed to handle various complicated problems in different fields of our real life, especially in decision making. Molodtsov’s soft set theory has been regarded as a newly emerging mathematical tool to deal with uncertainty and vagueness. Lattice ordered multi-fuzzy soft set (LMFSS) has been applied in forecasting process. However, similarity measure is not used in this application. In our research, similarity measure of LMFSS is proposed to calculate the similarity between two LMFSSs. Moreover, some of its properties are introduced and proved. Finally, an application of LMFSS in decision making using similarity measure is analysed.

Similarity Measure between Vague Sets Based on Products

2014 ◽  
Vol 667 ◽  
pp. 85-88
Author(s):  
Qing Bo Yang ◽  
Ruo Juan Xue
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
New Method ◽  
Vague Sets ◽  
Multi Criteria Evaluation

A new method for measure similarity between vague sets is proposed in this paper. Multi-criteria evaluation problems are used in decision-making constantly. Vague sets model is used to describe multi-criteria evaluation problems in this paper. And the similarity measure method based on products is used in sorting alternatives. The proposed method can solve the multi-criteria evaluation problems in a reasonable and objective way.

A Short Primer on the Correlation Coefficient of Vague Sets

2011 ◽  
Vol 1 (2) ◽  
pp. 55-69 ◽  
Author(s):  
John Robinson P. ◽  
Henry Amirtharaj E.C.
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Real Life ◽  
Detailed Comparison ◽  
Intuitionistic Fuzzy Sets ◽  
Vague Set ◽  
Practical Applications ◽  
Vague Sets ◽  
Intuitionistic Fuzzy ◽  
Life Problems

Intuitionistic fuzzy sets and vague sets are generalizations of the concept of fuzzy sets. Various researchers have studied the vagueness of data through vague sets, and it was later demonstrated that vague sets are indeed intuitionistic fuzzy sets. Since its entry in the literature, vague set theory has received increased attention. Many real life problems involve information in the form of vague values, due to the increasing complexity of the socio-economic environment and the vagueness of the inherent subjective nature of human thinking. Instead of using point-based membership as in fuzzy sets, interval-based membership is used in a vague set. This paper presents a detailed comparison between vague sets and intuitionistic fuzzy sets, from various perspectives of algebraic properties, graphical representations, and practical applications. Methods of calculating the correlation coefficient of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are already found in the literature. This paper defines the correlation coefficient of vague sets through simple examples.

A New Similarity Measure between Vague Sets Based on Information Similarity Coefficient and its Application

2013 ◽  
Vol 401-403 ◽  
pp. 959-963
Author(s):  
Wei Wang ◽  
Jin Ye Peng
Keyword(s):  
Similarity Measure ◽  
Recommendation System ◽  
Distance Measure ◽  
Similarity Coefficient ◽  
Similar Measure ◽  
Vague Set ◽  
Vague Sets ◽  
Definition Of

According to the facts that similar measure between vague set is based on the distance measure mostly, A new similarity measure between vague sets based on information similarity coefficient is presented ,which can satisfy the axiom definition of similarity measure between vague sets. Finally ,an application in the field of content-based recommendation system of electric commerce is given .The example shows that the methods is practical and effective and can improve the quality and accuracy of the recommendation．

Novel similarity measures and multi-expert TOPSIS method using picture m-polar fuzzy sets

2021 ◽  
pp. 1-16
Author(s):  
Dliouah Ahmed ◽  
Binxiang Dai
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Similarity Measure ◽  
Similarity Measures ◽  
Alternative Solution ◽  
Topsis Method ◽  
Numerical Example ◽  
Picture Fuzzy Sets

In this paper, we give a new notion of the picture m-polar fuzzy sets (Pm-PFSs) (i.e, combination between the picture fuzzy sets (PFSs) and the m-polar fuzzy sets (m-PFSs)) and study several of the structure operations including subset, equal, union, intersection, and complement. After that, the basic definitions, theorems, and examples on Pm-PFSs are explained. Also, the certain distance between two Pm-PFSs and a novel similarity measure for Pm-PFSs based on distances are defined. MCDM is animated for Pm-PFS data that take into account the distances for the best alternative (solution) by proposed an application of similarity measure for Pm-PFSs in decision-making. Finally, we construct a new methodology to extend the TOPSIS to Pm-PFS in which capable of different objects recognizing belonging to the same family and illustrate its applicability via a numerical example.

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