FUZZY CONTINUOUS AND FUZZY BOUNDED LINEAR OPERATORS OVER ANTI-FUZZY FIELDS
By
Parijat Sinha and Yogesh Chandra
Department of mathematics, V.S.S.D. College, Kanpur-208002, Uttar Pradesh, India
Email: parijatvssd@gmail.com,ycyogesh09@gmail.com
(Received : February 02, 2023; In format : February 14, 2023; Revised : September 27, 2023; Accepted : October 02, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53220
Abstract
In this paper, we have studied the concept of anti-norm and anti-inner product function on anti-fuzzy linear space over anti-fuzzy field, we have also given fuzzy continuous linear operator from an anti-normed anti-fuzzy linear space to another anti-normed anti-fuzzy linear space and also introduced three types (strong, weak and sequential) of fuzzy bounded linear operators.
2020 Mathematical Sciences Classification: 54A40, 46S40, 03E72.
Keywords and Phrases: Fuzzy field, fuzzy linear space, anti-fuzzy field, anti-fuzzy linear space, anti-norm, anti- inner product, weak fuzzy continuity, strong fuzzy continuity and sequential fuzzy continuity.