Some Generalized Intuitionistic Fuzzy Einstein Hybrid Aggregation Operators and Their Application to Multiple Attribute Group Decision Making

Rahman, Khaista; Abdullah, Saleem; Jamil, Muhammad Kamran; Khan, Muhammad Yaqub

doi:10.1007/s40815-018-0452-0

Cited by 60 publications

(17 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Refs. [20][21][22][23][24][25], many researchers worked in the area of intuitionistic fuzzy sets and established various aggregation operators which are applied to group decision-making. After the advent of the Pythagorean fuzzy sets, the operators of Pythagorean fuzzy aggregation have also become an important and interesting field for research.…”

Section: Introductionmentioning

confidence: 99%

SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Al-shami

Ibrahim

Azzam

et al. 2022

Journal of Function Spaces

View full text Add to dashboard Cite

An intuitionistic fuzzy set is one of the efficient generalizations of a fuzzy set for dealing with vagueness/uncertainties in information. Under this environment, in this manuscript, we familiarize a new type of extensions of fuzzy sets called square-root fuzzy sets (briefly, SR-Fuzzy sets) and contrast SR-Fuzzy sets with intuitionistic fuzzy sets and Pythagorean fuzzy sets. We discover the essential set of operations for the SR-Fuzzy sets along with their several properties. In addition, we define a score function for the ranking of SR-Fuzzy sets. To study multiattribute decision-making problems, we introduce four new weighted aggregated operators, namely, SR-Fuzzy weighted average (SR-FWA) operator, SR-Fuzzy weighted geometric (SR-FWG) operator, SR-Fuzzy weighted power average (SR-FWPA) operator, and SR-Fuzzy weighted power geometric (SR-FWPG) operator over SR-Fuzzy sets. We apply these operators to select the top-rank university and show how we can choose the best option by comparing the aggregate outputs through score values.

show abstract

Section: Introductionmentioning

confidence: 99%

SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Al-shami

Ibrahim

Azzam

et al. 2022

Journal of Function Spaces

View full text Add to dashboard Cite

show abstract

“…Dalman et al (2016), Yu (2014Yu ( , 2015, Yu and Shi (2015), Kumar and Garg (2016), Garg et al (2015) introduced several operators and their basic application in decision making in real life problems. Rahman et al (2018) established the notion of generalized operators. Gou (2016) established the idea of exponential operational laws and develop several operators using IFS and IFNs.…”

Section: Introductionmentioning

confidence: 99%

Some new logarithmic aggregation operators and their application to group decision making problem based on t-norm and t-conorm

Rahman

2022

Soft Comput

Self Cite

View full text Add to dashboard Cite

In this paper, a logarithmic operational law for intuitionistic fuzzy numbers is defined, in which the based l is a real number such that   0,1  l with condition 1  l . Some properties of logarithmic operational laws have been studied and based on these, several Einstein averaging and Einstein geometric operators namely, logarithmic intuitionistic fuzzy Einstein weighted averaging (LIFEWA) operator, logarithmic intuitionistic fuzzy Einstein ordered weighted averaging (LIFEOWA) operator, logarithmic intuitionistic fuzzy Einstein hybrid averaging (LIFEHA) operator, logarithmic intuitionistic fuzzy Einstein weighted geometric (LIFEWG) operator, logarithmic intuitionistic fuzzy Einstein ordered weighted geometric (LIFEOWG) operator, and logarithmic intuitionistic fuzzy Einstein hybrid geometric (LIFEHG) operator have been introduced, which can overcome the weaknesses of algebraic operators. Furthermore, based on the proposed operators a multi-attribute group decision-making problem is established under logarithmic operational laws. Finally, an illustrative example is used to illustrate the applicability and validity of the proposed approach and compare the results with the existing methods to show the effectiveness of it.

show abstract

“…Intuitionistic fuzzy sets can better describe fuzziness and uncertainty of information. Many scholars have done a lot of research for deal with uncertain of information under the intuitionistic fuzzy environment, such as: distance measures [4,5], similarity measures [6][7][8], aggregation operators [9][10][11], accuracy function and score function [12]. However, intuitionistic fuzzy sets are limited in dealing with inconsistency, uncertainty and fuzziness of information.…”

Section: Introduction For Picture Fuzzy Setsmentioning

confidence: 99%

Picture Fuzzy Geometric Aggregation Operators Based on a Trapezoidal Fuzzy Number and Its Application

Luo

Long

2021

Symmetry

View full text Add to dashboard Cite

The picture fuzzy set is a generation of an intuitionistic fuzzy set. The aggregation operators are important tools in the process of information aggregation. Some aggregation operators for picture fuzzy sets have been proposed in previous papers, but some of them are defective for picture fuzzy multi-attribute decision making. In this paper, we introduce a transformation method for a picture fuzzy number and trapezoidal fuzzy number. Based on this method, we proposed a picture fuzzy multiplication operation and a picture fuzzy power operation. Moreover, we develop the picture fuzzy weighted geometric (PFWG) aggregation operator, the picture fuzzy ordered weighted geometric (PFOWG) aggregation operator and the picture fuzzy hybrid geometric (PFHG) aggregation operator. The related properties are also studied. Finally, we apply the proposed aggregation operators to multi-attribute decision making and pattern recognition.

show abstract

Some Generalized Intuitionistic Fuzzy Einstein Hybrid Aggregation Operators and Their Application to Multiple Attribute Group Decision Making

Cited by 60 publications

References 26 publications

SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Some new logarithmic aggregation operators and their application to group decision making problem based on t-norm and t-conorm

Picture Fuzzy Geometric Aggregation Operators Based on a Trapezoidal Fuzzy Number and Its Application

Contact Info

Product

Resources

About