How to verify that a given fuzzy set A∈F(X *) is a fuzzy code? In this paper, an algorithm of test has been introduced and studied with the example of test. The measure notion for a fuzzy code and a precise form...How to verify that a given fuzzy set A∈F(X *) is a fuzzy code? In this paper, an algorithm of test has been introduced and studied with the example of test. The measure notion for a fuzzy code and a precise formulation of fuzzy codes and words have been discussed. sification:90K20,94D05.展开更多
Let S and T be semigroups. F(S) and F,(S) denote the sets of all fuzzy subsets and all fuzzy subsemigroups of 5, respectively. In this paper, we discuss the homomorphisms between F(S)(Fs(S)) and F(T)(Fs(T)). We introd...Let S and T be semigroups. F(S) and F,(S) denote the sets of all fuzzy subsets and all fuzzy subsemigroups of 5, respectively. In this paper, we discuss the homomorphisms between F(S)(Fs(S)) and F(T)(Fs(T)). We introduce the concept of fuzzy quotient subsemigroup and generalize the fundamental theorems of homomorphism of semigroups to fuzzy subsemigroups.展开更多
This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, gi...This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.展开更多
基金Supported by National Natural Science Foundation of China(6980 30 0 7)
文摘How to verify that a given fuzzy set A∈F(X *) is a fuzzy code? In this paper, an algorithm of test has been introduced and studied with the example of test. The measure notion for a fuzzy code and a precise formulation of fuzzy codes and words have been discussed. sification:90K20,94D05.
基金Supported by NNSF of China(19971028)and Natural Science Foundations [(011438)(021073),(Z02017)] of Guangdong Province.
文摘Let S and T be semigroups. F(S) and F,(S) denote the sets of all fuzzy subsets and all fuzzy subsemigroups of 5, respectively. In this paper, we discuss the homomorphisms between F(S)(Fs(S)) and F(T)(Fs(T)). We introduce the concept of fuzzy quotient subsemigroup and generalize the fundamental theorems of homomorphism of semigroups to fuzzy subsemigroups.
文摘This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.
