Fuzzy Multi-dimensional Analysis and Resolution Operation
نویسنده
چکیده
In this paper a new original approach to the analysis of fuzzy multi dimensional distributions is described A uniform method for representing fuzzy multi dimensional distributions by means of sectioned vectors and matrices is proposed Sectioned ma trix is interpreted as fuzzy conjunctive normal form while its line vectors are interpreted as fuzzy disjunctions Several useful characteristics of fuzzy distributions and disjunctions are de ned and studied The main operation for manipulating fuzzy multi dimensional distributions is an original fuzzy resolution which is applied to any two disjunctions on some variable and results in a third disjunction called resolvent The property of adjacency of two disjunctions is de ned and the criterion of adjacency is formulated It is shown that the proposed resolution operation is a generalization of the conventional resolution and the whole approach can be viewed as a generalization of propositional logic Methods for nding prime disjunctions projection on a variable thus solving the satis ability problem and transforming into the dual form are proposed
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ورودعنوان ژورنال:
- The Computer Science Journal of Moldova
دوره 6 شماره
صفحات -
تاریخ انتشار 1998