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...
Distance measurement is an important technique for determining the similarity of two Picture Fuzzy Sets (PFSs). The article presents a novel idea of distance measure for PFSs, which is then applied to solve Multi-Criteria Decision-Making (MCDM) problems. By using...
Ibrahim HZ, Al-shami TM, Elbarbary OG (2021) (3, 2)-Fuzzy Sets and their applications to topology and optimal choices. Comput Intell Neurosci 2021:1–14 Article MATH Google Scholar Gupta R, Kumar S (2022) A new similarity measure between picture fuzzy sets with applications to pattern ...
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 ...
making. Then we give an example to verify its effectiveness and compare it with the existing methods. (3) Study on Picture fuzzy sets. From the viewpoint of probability, we define the basic operations of Picture fuzzy elements and then construct some Picture fuzzy aggregation operators co...
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 ...
In this paper, we introduce the concept of picture fuzzy sets (PFS), which are direct extensions of the fuzzy sets and the intuitonistic fuzzy sets. Then some operations on PFS with some properties are considered. The following sections are devoted to the Zadeh Extension Principle, picture fuzz...
Even on the title page Lewis sets the tone, drawing the girl and her grandmother looking sadly through the panes of a snow-colored window. But Woodson’s text has a subtle and powerful poetry. “Hush now. Your mama’s gonna be coming on home soon,” the little girl’s grandmother says...
Keywords Picture fuzzy set Distance measure Similarity measures Pattern recognition Medical diagnosis 1. Introduction Many classical theories such as fuzzy set theory [1], probability theory, vague set theory [2], rough set theory [3], intuitionistic fuzzy set (IFS) [4], and the interval mathemat...
Fuzzy graphs, including their extensions such as intuitionistic fuzzy graphs and picture fuzzy graphs, find substantial applications in diverse natural and