Multiset relations and multigroups under tn-norm

Subject Areas : Statistics

Hossein Naraghi ¹ (Department of Mathematics, Payame Noor University, Tehran, Iran)
Saeed Mirvakili ² (Department of Mathematics, Payame Noor University, Tehran, Iran)
Peyman Ghiasvand ³ (Department of Mathematics, Payame Noor University, Tehran, Iran)

Received: 2020-10-02 Accepted : 2020-12-07 Published : 2021-07-23

Keywords: چندمجموعه, tn-نرم, گروه, چندگروه, رابطه‌ی چندمجموعه‌ای,

Abstract :

Multi Set Relations and Multi Groups under Tn-norm(ABSTRACT)In this paper , first we introduce the properties and theorems of the multi groups . After , we describe the results of the isomorphisms in multi groups , We show that how a multi group can be generated another non constant multi group under a proper binary operator, , call it t n norm . In fact, under an arbitrary t n norm to a multi group, we obtain the other multi group and examine their interactions . We use this process to generate a non constant multi group of a multi set relation under an arbitrary t n norm . We also present at the end an application of the concepts presented for generating usage encryption .K E Y W O R D S : Group , Multi set , Multi set relation , Multi group , T n norm .

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