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作为处理不确定性问题的另一数学工具,软集理论已被广泛应用到计算机科学.将双极值模糊软集运用到半群上,给出半群的双极值模糊软理想的概念,讨论它的一些相关性质,证明两个双极值模糊软理想的交、“∧”、满足一定条件下的并也是双极值模糊软理想,(f,A)是S上的双极值模糊软理想的充要条件是α∈[0,1],β∈[-1,0],fPα(e)≠φ,fNβ(e)≠φ(e∈A)均是S的理想.此外,提出了半群上的双极值模糊软同态和双极值模糊软同构的定义,并研究了半群的双极值模糊软理想的同态像与原像的性质.
As another mathematical tool to deal with the problem of uncertainty, soft set theory has been widely applied to computer science.By applying the bipolar fuzzy soft set to semigroups, the concept of bipolar fuzzy soft ideal of semigroups is given, We discuss some related properties of it, and prove that the two bifurcated fuzzy soft ideal ideals, “Λ”, satisfy some conditions and are also bipolar fuzzy soft ideals, (f, A) is the bipolar on S The necessary and sufficient conditions for the value-fuzzy soft ideal are: α∈ [0,1], β∈ [-1,0], fPα (e) ≠ φ, fNβ (e) ≠ φ (e∈A) In addition, the definitions of ambiguous bistatic fuzzy homomorphisms and bipolar fuzzy soft isomorphisms on semigroups are proposed, and the homomorphisms and primal images of bivariate fuzzy soft ideals are studied.