Picture Fuzzy Sets (PFSs) are expanded to include Intuitionistic Fuzzy Sets (IFSs), with the extra advantage of avoiding underlying limitations. PFS based models may be adequate in situations when we face opinions involving more answer of types: yes, abstain and no. In this paper, the ...
Picture fuzzy sets and 3 -fuzzy setsErich Peter KlementDepartment of Knowledge-BasedMathematical SystemsJohannes Kepler UniversityLinz, Austriaep.klement@jku.atRadko MesiarFaculty of Civil EngineeringSlovak University of Technologyin BratislavaBratislava, Slovakiaradko.mesiar@stuba.skAndrea Stupˇ nanováFac...
Correlation coefficient of picture fuzzy sets (PFSs) is an essential measure in picture fuzzy set theory and has a lot of applications in many areas, such as "decision-making," "medical diagnosis," "pattern recognition" and "clustering analysis". In this article, two correlation coefficients of...
All these similarity measures, however, produce irrational outcomes in the majority of the issues such as satisfying the axiomatic requirements, computation of similarity between different picture fuzzy sets, and classifying an unknown pattern into one of the known patterns. Therefore, we propose a ...
Interval-valued picture fuzzy sets (IvPFSs) combine the concepts of IvIFSs and PFSs, providing a highly effective means of representing and processing uncertain, ambiguous and incomplete information. How to better measure the differences between PFSs and IvPFSs is still an open issue. This paper ...
Picture fuzzy sets can also be viewed as a generalization of fuzzy sets, each of their members is described by four values in [0,1], corresponding to four kinds of attitudes of decision makers: yes, neutrality, against and abstained. As a result, it depicts the voting vividly. The rough...
There are numerous uses for picture fuzzy sets (PFS) in the context of engineering and scientific issues. Dombi operators can flexibly work on parameter assessment. To address this, we propose the weighted versions of the ordered, hybrid, and picture fuzzy Dombi averaging operators, which we refe...
Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures Theorem 1 is obviously incorrect when applying the t-conorm and t-norm listed in eq(27) and eq(24). There is nothing to prove although a proof is presented for Theorem 1. The paper...
Multi-valued picture fuzzy setsMulti-valued picture fuzzy soft setsMulti-attribute group decision-making problemsSoft set theory initiated by Molodtsov in 1999 has been emerging as a generic mathematical tool for dealing with uncertainty. A noticeable progress is found concerning the practical use of ...
Abstract The picture fuzzy sets (PFSs) state or model the voting information accurately without information loss. However, their existing operational laws usually generate unreasonable computing results, especially when the agreement degree (AD) or neutrality degree (ND) or opposition degree (OD) is ...