2015/11/04 by Syed Eqbal Alam, Alam, Syed Eqbal, Sultan Aljahdali +3
Computer Science · Decision Sciences · Mathematics · #03B52 #20-XX #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #G.2.0 #General Mathematics (math.GM) #I.2.3 #acm:03B52 #acm:20-XX #math.GM #msc:03B52 #msc:20-XX
paper · pdf · doi:10.48550/arxiv.1511.02773
arxiv created 2015/11/04 · openalex publication_date 2015/11/04 · arxiv updated 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a new class of algebraic structure named as (m,n)-semihyperring which is a generalization of usual semihyperring. We define the basic properties of (m,n)-semihyperring like identity elements, weak distributive (m,n)-semihyperring, zero sum free, additively idempotent, hyperideals, homomorphism, inclusion homomorphism, congruence relation, quotient (m,n)-semihyperring etc. We propose some lemmas and theorems on homomorphism, congruence relation, quotient (m,n)-semihyperring, etc and prove these theorems. We further extend it to introduce the relationship between fuzzy sets and (m,n)-semihyperrings and propose fuzzy hyperideals and homomorphism theorems on fuzzy (m,n)-semihyperrings and the relationship between fuzzy (m,n)-semihyperrings and the usual (m,n)-semihyperrings.