Union And Intersection Fuzzy Subhypergroups

Novel and Different Definitions for Fuzzy Union and Intersection Operations

This paper presents three new methodologies for the basic operations, which aim at finding new ways of computing union (maximum) and intersection (minimum) membership values by taking into effect the entire membership values in a fuzzy set. The new methodologies are conceptually simple and easy from the application point of view and are illustrated with a variety of problems such as Cartesian p...

General definitions for the union and intersection of ordered fuzzy multisets

Since its original formulation, the theory of fuzzy sets has spawned a number of extensions where the role of membership values in the real unit interval $[0, 1]$ is handed over to more complex mathematical entities. Amongst the many existing extensions, two similar ones, the fuzzy multisets and the hesitant fuzzy sets, rely on collections of several distinct values to represent fuzzy membershi...

Union and intersection of Level-2 fuzzy regions

In many applications spatial data are considered, yet this data quite often are prone to uncertainty and imprecision. For this purpose, fuzzy regions have been developed. Our initial model, a fuzzy set over a two dimensional domain, allowed for both fuzzy regions and fuzzy points to be modelled. The model still had some shortcomings: all points where treated independently, and it was not possib...

Intersection and Union Logic

FUZZY ROUGH N-ARY SUBHYPERGROUPS

Fuzzy rough n-ary subhypergroups are introduced and characterized.