A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS
نویسندگان
1 School of Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
2 Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China
3 Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
doi
10.22111/ijfs.2011.299چکیده
By means of a kind of new idea, we consider the $(\in,\ivq)$-fuzzy$h$-ideals of a hemiring. First, the concepts of $(\in,\ivq)$-fuzzyleft(right) $h$-ideals of a hemiring are provided and some relatedproperties are investigated. Then, a kind of quotient hemiring ofa hemiring by an $(\in,\ivq)$-fuzzy $h$-ideal is presented andstudied. Moreover, the notions of generalized $\varphi$-compatible$(\in,\ivq)$-fuzzy left(right) $h$-ideals of a hemiring areintroduced and some properties of them are provided. Finally, therelationships among $(\in,\ivq)$-fuzzy $h$-ideals, quotienthemirings and homomorphisms are explored and several homomorphismtheorems are provided.
