中文摘要：

将软集的思想应用到d-代数上,研究软d-代数中的限制交、限制并、扩张交、扩张并、＂AND＂以及子集算子等重要运算,并讨论可理想化软d-代数,得到一些重要性质.证明了：软d-代数（F,A）在其子集B上的限制（FB,B）仍是X上的软d-代数;两个软d-代数（F,A）和（G,B）的限制交（F,A）∩R（G,B）和扩张并（F,A）（G,B）仍是X上的软d-代数;两个软d-代数（F,A）和（G,A）的＂AND＂交（F,A）∧（G,A）也是X上的一个软d-代数;软d-代数（F,A）的同态像（f（F）,A）也是X上的一个软d-代数;两个d-理想化（或d#-理想化,或d＊-理想化）软d-代数（F,A）和（G,B）的扩张交（F,A）∩E（G,B）是X上的d-理想化（或d#-理想化,或d＊-理想化）软d-代数.

英文摘要：

We applied the soft idea to d-algebras to investigate some important operations such as restricted intersection,restricted union,extended intersection,extended union,＂AND＂,and subset operations of soft d-algebras and the idealistic soft d-algebras,and gave some important properties of them.First of all,we proved that the restriction（FB,B）of（F,A）on its subset Bis a soft d-algebra over X;the restricted intersection（F,A）∩R（G,B）and extended union（F,A）（G,B）of two soft dalgebras（F,A）and（G,B）are soft d-algebras over X;the＂AND＂（F,A）∧（G,A）of two soft dalgebras（F,A）and（G,B）is a soft d-algebra over X.Second,we proved that the homomorphism image（f（F）,A）of soft d-algebra（F,A）is a soft d-algebra over X.Finally,we proved that the extended intersection（F,A）∩E（G,B）of two d-idealistic（resp.d#-idealistic and d＊-idealistic）soft d-algebras（F,A）and（G,B）over Xis a d-idealistic（resp.d#-idealistic and d＊-idealistic）soft dalgebra over X.