R-generalized Starshaped Fuzzy Sets

Combining implication operators and generalized strashaped fuzzy sets, R-generalized starshaped fuzzy set, a new fuzzy algebra structure, is introduced. Some fundamental properties of such starshaped fuzzy set are discussed. Furthermore, the relationships between R-generalized starshaped fuzzy set and common generalized starshaped fuzzy set are researched, which enrich and perfect the theory of starshaped fuzzy sets.