Decision-making method based on an improved similarity measure between vague sets

2009 ◽  
Author(s):  
Weijiang Jiang ◽  
Jun Ye
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Vague Sets

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.

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.

scholarly journals Generalised Interval-Valued Fuzzy Soft Set

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Shawkat Alkhazaleh ◽  
Abdul Razak Salleh
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Fuzzy Set ◽  
Medical Diagnosis ◽  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Interval Valued

We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.

Multi-criteria Decision-making Applications Based on Set Valued Generalized Neutrosophic Quadruple Sets for Law

2021 ◽  
pp. 41-60
Author(s):  
Necmiye Merve Sahin ◽  
◽  
◽  
Merve Sena Uz
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Point Of View ◽  
Multi Criteria Decision Making ◽  
Legal Decisions ◽  
The Law ◽  
Made In

In this article, an algorithm has been introduced that enables judges to see the decisions that should be made in a way that is closest to the conscience and the law, without transferring the cases to the higher authorities, without anyone objecting to their decisions. This algorithm has been introduced depending on the generalized set-valued neutrosophic quadruple numbers and the Euclidean similarity measure in sets, what the decision is made by considering all the situations, regardless of which case the defendants come before the judge, how similar these decisions are to the legal decisions that should be made. In this way, we can easily see the decisions given to the accused in all kinds of cases, and we can arrange the decisions according to the similarity value. The closer the similarity value is to 1, the more correct the judge's decision from a legal point of view.

A new method of similarity measure for Vague Sets

2021 ◽  
Author(s):  
Feng Ma ◽  
Ying Yang ◽  
Tilei Gao
Keyword(s):  
Similarity Measure ◽  
New Method ◽  
Vague Sets

scholarly journals Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making

2017 ◽  
Vol 5 (2) ◽  
pp. 148-162 ◽  
Author(s):  
Ruipu Tan ◽  
Wende Zhang ◽  
Shengqun Chen
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Group Decision Making ◽  
Group Decision ◽  
Weighted Averaging ◽  
Attribute Weights ◽  
Ordered Weighted Averaging ◽  
Aggregate Information ◽  
Multiple Attribute

Abstract This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators. This method is applied to solve the multiple attribute group decision making problems under single valued neutrosophic liguistic environment, in which the attribute weights are completely unknown. First, the attribute weights are obtained by using the entropy of neutrosophic linguistic sets. Then three generalized single valued neutrosophic linguistic operators are introduced, including the generalized single valued neutrosophic linguistic weighted averaging (GSVNLWA) operator, the generalized single valued neutrosophic linguistic ordered weighted averaging (GSVNLOWA) operator and the generalized single valued neutrosophic linguistic hybrid averaging (GSVNLHA) operator, and the GSVNLWA and GSVNLHA operators are used to aggregate information. Furthermore, similarity measure based on single valued neutrosophic linguistic numbers is defined and used to sort the alternatives and obtain the best alternative. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the developed method.

scholarly journals A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic sets and its Application in Medical Diagnosis

MATEMATIKA ◽  
2019 ◽  
Vol 35 (1) ◽  
pp. 83-94 ◽  
Author(s):  
Vakkas Ulucay ◽  
Adil Kılıç ◽  
Memet Şahin ◽  
Harun Deniz
Keyword(s):  
Decision Making ◽  
Pattern Recognition ◽  
Image Segmentation ◽  
Similarity Measure ◽  
Real World ◽  
Medical Diagnosis ◽  
Neutrosophic Sets ◽  
Hybrid Distance

 In recent times, refined neutrosophic sets introduced by Deli [6] has been one of the most powerful and flexible approaches for dealing with complex and uncertain situations of real world. In particular, the decision making methods between refined neutrosophic sets are important since it has applications in various areas such as image segmentation, decision making, medical diagnosis, pattern recognition and many more. The aim of this paper is to introduce a new distance-based similarity measure for refined neutrosophic sets. The properties of the proposed new distance-based similarity measure have been studied and the findings are applied in medical diagnosis of some diseases with a common set of symptoms.

Decision making based on similarity measure of vague soft sets

2013 ◽  
Vol 24 (3) ◽  
pp. 637-646 ◽  
Author(s):  
Pinaki Majumdar ◽  
Syamal Kumar Samanta
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Soft Sets
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