Generalized fuzzy ideals of near-rings  

作　　者：ZHAN Jian-ming Davvaz B. 

机构地区：[1]Dept. of Math., Hubei Institute for Nationalities, Enshi 445000, China [2]Dept. of Math., Yazd University, Yazd, Iran

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期343-349,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (60875034);the Natural Science Foundationof Education Committee of Hubei Province (D20092901;Q20092907;D20082903;B200529001);the NaturalScience Foundation of Hubei Province (2008CDB341)

摘　　要：The concept of（∈,∈∨q）-fuzzy subnear-rings（ideals） of a near-ring is introduced and some of its related properties are investigated.In particular,the relationships among ordinary fuzzy subnear-rings（ideals）,（∈,∈∨ q）-fuzzy subnear-rings（ideals） and（∈,∈∨q）-fuzzy subnear-rings（ideals） of near-rings are described.Finally,some characterization of [μ]t is given by means of（∈,∈∨ q）-fuzzy ideals.The concept of（∈,∈∨q）-fuzzy subnear-rings（ideals） of a near-ring is introduced and some of its related properties are investigated.In particular,the relationships among ordinary fuzzy subnear-rings（ideals）,（∈,∈∨ q）-fuzzy subnear-rings（ideals） and（∈,∈∨q）-fuzzy subnear-rings（ideals） of near-rings are described.Finally,some characterization of [μ]t is given by means of（∈,∈∨ q）-fuzzy ideals.

关 键 词：NEAR-RING subnear-ring （ideal） （∈ ∈ ∨ q）-fuzzy subnear-ring （ideal） （∈ ∈∨ q）-fuzzy subnear-ring（ideal） 

分 类 号：O159[理学—数学] O153.3[理学—基础数学]