A multi-criteria decision making problem based on score function of bipolar intuitionistic fuzzy soft set

2019 ◽  
Author(s):  
S. Anita Shanthi ◽  
Prathipa Jayapalan
Keyword(s):  
Decision Making ◽  
Score Function ◽  
Soft Set ◽  
Multi Criteria Decision Making ◽  
Fuzzy Soft Set ◽  
Intuitionistic Fuzzy ◽  
Decision Making Problem

scholarly journals Intuitionistic Fuzzy Soft Hyper BCK Algebras

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 399
Author(s):  
Xiaolong Xin ◽  
Rajab Borzooei ◽  
Mahmood Bakhshi ◽  
Young Jun
Keyword(s):  
Decision Making ◽  
Soft Set ◽  
Fuzzy Mathematics ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9 (2001), no. 3, 677–692]. The aim of this manuscript is to apply the notion of intuitionistic fuzzy soft set to hyper BCK algebras. The notions of intuitionistic fuzzy soft hyper BCK ideal, intuitionistic fuzzy soft weak hyper BCK ideal, intuitionistic fuzzy soft s-weak hyper BCK-ideal and intuitionistic fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated. Characterizations of intuitionistic fuzzy soft (weak) hyper BCK ideal are considered. Conditions for an intuitionistic fuzzy soft weak hyper BCK ideal to be an intuitionistic fuzzy soft s-weak hyper BCK ideal are provided. Conditions for an intuitionistic fuzzy soft set to be an intuitionistic fuzzy soft strong hyper BCK ideal are given.

Application of Bipolar Intuitionistic Fuzzy Soft Sets in Decision Making Problem

2018 ◽  
Vol 7 (3) ◽  
pp. 32-55 ◽  
Author(s):  
Chiranjibe Jana ◽  
Madhumangal Pal
Keyword(s):  
Decision Making ◽  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Graphs ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Graphs ◽  
Intuitionistic Fuzzy Soft Sets

This article describes how recently, a paper by D. Ezhilmaran and K. Sankar called Morphism of bipolar intuitionistic fuzzy graphs, has introduced bipolar intuitionistic fuzzy sets and morphism of bipolar intuitionistic fuzzy graphs. By using this concept, the authors of this article have combined a bipolar intuitionistic fuzzy set and a soft set. They introduce the notion of bipolar intuitionistic fuzzy soft set and study their basic properties. Also, presented in this article are the basic operations on bipolar intuitionistic fuzzy soft sets, extended unions, and the intersection of two bipolar intuitionistic fuzzy soft sets. An application of bipolar intuitionistic fuzzy soft set provides into a decision-making problem and a general algorithm to solve this decision making problem.

Intuitionistic Fuzzy Score Function Based Multi-Criteria Decision Making Method for Selection of Cloud Service Provider

2020 ◽  
Vol 10 (4) ◽  
pp. 533-539
Author(s):  
Sonal Agrawal ◽  
Pradeep Tripathi
Keyword(s):  
Decision Making ◽  
Cloud Computing ◽  
Service Provider ◽  
Service Providers ◽  
Score Function ◽  
Cloud Service ◽  
Multi Criteria Decision Making ◽  
Intuitionistic Fuzzy ◽  
Cloud Computing Service ◽  
Decision Making Problem

Aims & Background: Cloud Computing (CC) has received great attention from the scholarly researchers and IT companies. CC is a standard that offers services through the Internet. The standard has been manipulated by existing skills (such as collect, peer-to-peer and grid computing) and currently accepted by approximately all major associations. Various associations like as Microsoft and Facebook have revealed momentous investments in CC and currently offer services with top levels of reliability. The well-organized and precise evaluation of cloud-based communication network is an essential step in assurance both the business constancy and the continuous open services. Objectives & Methods: To select and rank the CC service providers, we introduce an Improved Score Function (ISF) based Multi-Criteria Decision-Making (MCDM) approach. The proposed approach is developed to solve the MCDM problems with partly unknown weight. To do this, the criteria preferences are given in terms of Intuitionistic Fuzzy Sets (IFSs). Numerical example is illustrated to show the effectiveness of the proposed approach over the previous ones. Results: A decision making problem of cloud computing service provider has been considered for signifying the developed technique and finishes with the outcomes coincide with the already developed methods which confirms the solidity of the developed method. Conclusion: For future, we plan to implement the proposed technique on various decision making problems, clustering and multi-objective problems. Also, we plan to extend our method under different uncertain atmosphere by using other MCDM methods.

Interaction aggregation operators to solve multi criteria decision making problem under pythagorean fuzzy soft environment

2021 ◽  
pp. 1-21
Author(s):  
Rana Muhammad Zulqarnain ◽  
Xiao Long Xin ◽  
Harish Garg ◽  
Rifaqat Ali
Keyword(s):  
Decision Making ◽  
Weighted Average ◽  
Aggregation Operators ◽  
Soft Set ◽  
Multi Criteria Decision Making ◽  
Fuzzy Soft Set ◽  
Pythagorean Fuzzy Set ◽  
Operational Laws ◽  
Decision Making Problem ◽  
Soft Interaction

In this article, we investigate the multi-criteria decision-making complications under Pythagorean fuzzy soft information. The Pythagorean fuzzy soft set (PFSS) is a proper extension of the Pythagorean fuzzy set (PFS) which discusses the parametrization of the attributes of alternatives. It is also a generalization of the intuitionistic fuzzy soft set (IFSS). The PFSS is used to precisely evaluate the deficiencies, anxiety, and hesitation in decision-making (DM). The most essential determination of the current study is to advance some operational laws along with aggregation operators (AOs) within the Pythagorean fuzzy soft environs such as Pythagorean fuzzy soft interaction weighted average (PFSIWA) and Pythagorean fuzzy soft interaction weighted geometric (PFSIWG) operators with their desirable features. Furthermore, a DM technique has been established based on the developed operators to solve multi-criteria decision-making (MCDM) problems. Moreover, an application of the projected method is presented for the selection of an effective hand sanitizer during the COVID-19 pandemic. A comparative analysis with the merits, effectivity, tractability, along with some available research deduces the effectiveness of this approach.

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.

A New Method for Ranking Intuitionistic Fuzzy Numbers

2011 ◽  
Vol 2 (1) ◽  
pp. 43-49 ◽  
Author(s):  
Cui-Ping Wei ◽  
Xijin Tang
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Score Function ◽  
Ranking Method ◽  
New Method ◽  
Multi Criteria Decision Making ◽  
Intuitionistic Fuzzy Numbers ◽  
Additional Information ◽  
Intuitionistic Fuzzy ◽  
Possibility Degree

In this paper the ranking method for intuitionistic fuzzy numbers is studied. The authors first define a possibility degree formula to compare two intuitionistic fuzzy numbers. In comparison with Chen and Tan’s score function, the possibility degree formula provides additional information for the comparison of two intuitionistic fuzzy numbers. Based on the possibility degree formula, the authors give a possibility degree method to rank intuitionistic fuzzy numbers, which is used to rank the alternatives in multi-criteria decision making problems.

scholarly journals Hypergraphs Based on Pythagorean Fuzzy Soft Model

2019 ◽  
Vol 24 (4) ◽  
pp. 100
Author(s):  
Gulfam Shahzadi ◽  
Muhammad Akram
Keyword(s):  
Score Function ◽  
Soft Set ◽  
Uncertain Information ◽  
Fuzzy Soft Set ◽  
Intuitionistic Fuzzy ◽  
Complex Relationships ◽  
Selection Of

A Pythagorean fuzzy soft set (PFSS) model is an extension of an intuitionistic fuzzy soft set (IFSS) model to deal with vague knowledge according to different parameters. The PFSS model is a more powerful tool for expressing uncertain information when making decisions and it relaxes the constraint of IFSS. Hypergraphs are helpful to handle the complex relationships among objects. Here, we apply the concept of PFSSs to hypergraphs, and present the notion of Pythagorean fuzzy soft hypergraphs (PFSHs). Further, we illustrate some operations on PFSHs. Moreover, we describe the regular PFSHs, perfectly regular PFSHs and perfectly irregular PFSHs. Finally, we consider the application of PFSHs for the selection of a team of workers for business and got the appropriate result by using score function.

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