Affiliations: [a] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan province, P.R. China | [b] College of Mathematics, Honghe University, Mengzi, Yunnan, P.R. China
Correspondence:
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Corresponding author. Qingguo Li, College of Mathematics and Econometrics, Hunan University, Changsha, P.R.
China. Tel.: +86 18975852027; E-mail: liqingguoli@aliyun.com.
Abstract: This paper addresses the strongly convex lattice-valued fuzzy (L-fuzzy) subsets of an ordered semigroup. It is shown that the set of all strongly convex L-fuzzy subsets of an ordered semigroup S forms a quantale and that S can be embedded into the quantale. The properties of L-fuzzy ideals of an ordered semigroup, a special class of strongly convex L-fuzzy subsets, are discussed. Specially, two approaches are developed to construct an L-fuzzy (left) ideal by an arbitrary L-fuzzy subset of an ordered semigroup.
