Tolerance Approximation Spaces

Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces

The purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces.

$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.

Some Results on p-Best Approximation in Vector Spaces

S-APPROXIMATION SPACES: A FUZZY APPROACH

In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and m...

SOME RESULTS ON t-BEST APPROXIMATION IN FUZZY n-NORMED SPACES

The aim of this paper is to give the set of all t -best approximations on fuzzy n-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [13].