L-contiguities and their order structure

Authors:
Mona Khare;Rashmi Singh
Affiliations:
Department of Mathematics, University of Allahabad, Allahabad-211 002, India;Allahabad Mathematical Society, 10, C.S.P. Singh Marg, Allahabad-211 001, India
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 4
Cited 2

Fuzzy nearness structure

Fuzzy Sets and Systems
A note on classical and fuzzy f-proximities

Fuzzy Sets and Systems
Fuzzy proximities structures and fuzzy grills

Fuzzy Sets and Systems
A relationship between classical and fuzzy proximities

Fuzzy Sets and Systems

Complete ξ-grills and (L,n)-merotopies

Fuzzy Sets and Systems
Grill Determined L-Approach Merotopological Spaces

Fundamenta Informaticae

Quantified Score

Hi-index	0.20

Visualization

Abstract

The present paper introduces L-contiguity and L-merotopy and presents a unified study of L-proximity, L-contiguity and L-merotopy on a set X. Corresponding to each L-contiguity there is an L-merotopy which is contigual, if this L-contiguity is obtained by restricting the cardinality of a given L-merotopy, then the two L-merotopies in hand are the same. It is shown that the family of all L-contiguities and the family of all L-contiguities, which induce a given L-proximity, form complete distributive lattices.