In this book we study the relationship between the topological properties and the algebraic properties by the spectrum of d-filter in the multiple valuable logic d-algebra. The d-algebra is a useful generalization of BCK-algebra which have many applications in the computer since and image processing. On the other hand, we define the concepts of a fuzzy semi d-ideal and a fuzzy d-filter of a d-algebra, combining these new notions with other kinds of fuzzy ideals of d-algebra . Finally, we study the fuzzy semi d-ideal spectrum and fuzzy d-filter spectrum and there topological properties.

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