Codes based on residuated lattices

Tsafack Surdive Atamewoue; Young Bae Jun; Celestin Lele; Selestin Ndjeya; Seok-Zun Song

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. -0001; 31(1): 27-40

Printed November 30, -0001

Codes based on residuated lattices

Tsafack Surdive Atamewoue, Young Bae Jun, Celestin Lele, Selestin Ndjeya, and Seok-Zun Song

University of Yaounde 1, Gyeongsang National University, University of Dschang, University of Yaounde 1, Jeju National University

Abstract

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Abstract

We define the notion of a residuated lattice valued function on a set as Jun and Song have done in $BCK$-algebras. We also investigate related properties of residuated lattice valued function. We establish the codes generated by residuated lattice valued function and conversely we give residuated lattice valued function and residuated lattice obtained by the giving binary block-code.

Keywords: RL-function, cut function, cut subset

MSC numbers: 03G25, 94B60