Picture fuzzy normed linear operators

Suman Das; Kalyan Sinha; Ajoy Kanti  Das

doi:10.5269/bspm.76327

Suman Das Department of Education(ITEP), NIT Agartala, Jirania, India 799046.
Kalyan Sinha ASSISTANT PROFESSOR MATHEMATICS ABN SEAL COLLEGE COOCHBEHAR
Ajoy Kanti Das Department of Mathematics, Tripura University, Agartala, India 799022.

Abstract

Picture fuzzy set (PFS) is an instantaneous extension of Intuitionstic Fuzzy (IF) sets. In this article, we have introduced an idea of PF norm of a linear operator from a PFNL space to another PFNL space and also defined two varieties (strong and weak) of Picture Fuzzy Normed Linear (PFNL) Bounded Operators. Also various types of continuity, i.e. strong continuity, week continuity, sequential continuity etc. of PFNL operators are discussed, and their relationships are studied subsequently. This study also examines the relation between continuity and boundedness of a PFNL operator. Finally, a result on fixed point theory in PFNL space is addressed.

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