Fuzzy subalgebra

Pure mathematics

Algebra over a field

Political science

Mathematics

Politics

Computer science

Fuzzy number

Fuzzy mathematics

Representation (politics)

Algorithm

Fuzzy classification

Artificial intelligence

Fuzzy set

Fuzzy logic

Fuzzy set operations

Defuzzification

Ranking (information retrieval)

Journal of Intelligent & Fuzzy Systems

In this paper, we introduce spherical fuzzy sets (SFSs) which is an advanced tool of the fuzzy sets, intuitionistic fuzzy sets and picture fuzzy sets. We investigate the basic properties of SFSs and compare the idea SFSs with picture fuzzy sets. The spaces of spherical membership grades and pictur e membership grades are examined by graphically. Some useful operation such as spherical fuzzy t'-norms and spherical fuzzy t'-conorms are introduced. Also introduced spherical fuzzy negator and some classifications of spherical fuzzy t'-norms and spherical fuzzy t′-conorms which are useful for development the aggregation operator to aggregate the spherical fuzzy information. Finally, a food circulation center evaluation problem is given as a practical application to demonstrate the usage and applicability of the proposed ranking approach.

Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms