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Over the last forty years, interest has arisen in the study of modern algebraic systems like Rings, Modules over Rings. The concept Dimension of a vector space, when generalized to modules becomes the concept Goldie Dimension . This dimension concept was studied by several authors from different continents. Success of fuzzy logic in a wide range applications inspired much interest in fuzzy logic among mathematicians. The researchers in mathematics were trying to introduce and study the concept of fuzzyness in different mathematical systems under study. Dr Bhavanari Satyanarayana & his...