scholarly journals Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context

2021 ◽  
Vol 27 (1) ◽  
pp. 24-52
Author(s):  
Cengiz Kahraman ◽  
◽  
Nurşah Alkan ◽  
Keyword(s):  
Fuzzy Sets ◽  
Membership Function ◽  
Supplier Selection ◽  
Three Dimensional ◽  
Fuzzy Topsis ◽  
Intuitionistic Fuzzy Sets ◽  
Topsis Method ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Topsis ◽  
The Membership Function

The membership function of a general type-2 fuzzy set is three-dimensional in order to incorporate its vagueness through the third dimension. Similarly, Circular intuitionistic fuzzy sets (CIFSs) have been recently introduced by Atanassov (2020) as a new extension of intuitionistic fuzzy sets, which are represented by a circle representing the vagueness of the membership function. CIFSs allow decision-makers to express their judgments including this vagueness. In this study, the TOPSIS method, which is one of the most used multi-criteria decision-making methods is extended to its CIF version. The proposed CIF-TOPSIS methodology is applied to the supplier selection problem. Then, a sensitivity analysis based on criteria weights is conducted to check the robustness of the proposed approach. A comparative analysis with single-valued intuitionistic fuzzy TOPSIS method is also performed to verify the developed approach and to demonstrate its effectiveness

scholarly journals OPERATOR ⊞A and ⊠A ON INTUITIONISTIC FUZZY RING

2020 ◽  
Vol 12 (1) ◽  
pp. 35
Author(s):  
Dian Pratama
Keyword(s):  
Fuzzy Sets ◽  
Membership Function ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Sets ◽  
Ring Theory ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Ring ◽  
The Membership Function

Intuitionistic fuzzy sets is a sets that are characterized by membership and non-membership function which  sum is less than one. When applied to ring theory, it will called intuitionistic fuzzy rings. The fuzzy set operator is a mapping between the membership function and the interval [0,1]. In this study, we will describe properties of operator  and  in intuitionistic fuzzy rings. The characteristics that will be studied include the structure of  and  if A is an intuitive and fuzzy ring and vice versa.

Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method

2019 ◽  
Vol 50 ◽  
pp. 9-24 ◽  
Author(s):  
Ashkan Memari ◽  
Ahmad Dargi ◽  
Mohammad Reza Akbari Jokar ◽  
Robiah Ahmad ◽  
Abd. Rahman Abdul Rahim
Keyword(s):  
Supplier Selection ◽  
Fuzzy Topsis ◽  
Topsis Method ◽  
Intuitionistic Fuzzy ◽  
Sustainable Supplier Selection ◽  
Intuitionistic Fuzzy Topsis

A spherical fuzzy TOPSIS method for solving the physician selection problem

2021 ◽  
pp. 1-14
Author(s):  
Ahmet Sarucan ◽  
Mehmet Emin Baysal ◽  
Orhan Engin
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Topsis ◽  
Three Dimensions ◽  
Selection Problem ◽  
Topsis Method ◽  
Neutrosophic Sets ◽  
State Hospitals ◽  
Intuitionistic Fuzzy ◽  
City State ◽  
Intuitionistic Fuzzy Topsis

The membership functions of the intuitionistic fuzzy sets, Pythagorean fuzzy sets, neutrosophic sets and spherical fuzzy sets are based on three dimensions. The aim is to collect the expert’s judgments. Physicians serve patients in the physician selection problem. It is difficult to measure the service’s quality due to the variability in patients’ preferences. The patients physician preference criteria is differing and uncertainties. Thus, solving this problem with fuzzy method is more appropriate. In this study, we considered the physician selection as a multi-criteria decision-making problem. Solving this problem, we proposed a spherical fuzzy TOPSIS method. We used the five alternatives and eight criteria. The application was performed in the neurology clinics of Konya city state hospitals. In addition, we solved the same problem by the intuitionistic fuzzy TOPSIS method. We compared the solutions of two methods with each other. We found that the spherical fuzzy TOPSIS method is effective for solving the physician selection problem.

Introduction to Intuitionistic Fuzzy Multisets and Its Applications

2016 ◽  
pp. 43-52
Author(s):  
T. K. Shinoj ◽  
Sunil Jacob John
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Membership Function ◽  
Medical Diagnosis ◽  
Intuitionistic Fuzzy Sets ◽  
Linguistic Variable ◽  
Human Reasoning ◽  
Collaborative Robots ◽  
Intuitionistic Fuzzy

In this chapter a new concept named Intuitionistic Fuzzy Multiset is introduced, which is an attempt to combine the two concepts: Intuitionistic Fuzzy sets and Fuzzy Multisets. The basic operations and their various properties are discussed. The authors discussed two significant applications of Intuitionistic Fuzzy Multisets. Most of human reasoning involves the use of variables whose values are fuzzy sets. This is the basis for the concept of a linguistic variable. But in some situations like decision making problems, the description by a linguistic variable in terms of membership function only is not adequate. There is chance of existing a non-null complement. There are situations that each element has different membership values. In such situations Intuitionistic Fuzzy Multisets is more adequate. Here the authors present Intuitionistic Fuzzy Multisets as a tool for reasoning such a situation through a medical diagnosis problem. As the second application, accuracy of Collaborative Robots using the concept of Intuitionistic Fuzzy Multiset is discussed.

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