NEW OPERATIONS OVER GENERALIZED INTERVAL VALUED INTUITIONISTIC FUZZY SETS

Abstract

The concept of intuitionistic fuzzy sets and its generalizations play a vital role in modeling uncertainty and vagueness involved in deferent field of science. Recently, generalized interval valued intuitionistic fuzzy sets were presented by Baloui Jamkhaneh (2015) and defined some operations over it.  In this paper, defined arithmetic mean operation and geometric mean operation over  are proposed and few theorems were proved.  In addition, some of the basic properties of the new operations are discussed. By using these new operations, a prioritization method for generalized interval valued intuitionistic fuzzy judgment matrix is proposed.

Keywords

• Generalized interval valued intuitionistic fuzzy sets,generalized intuitionistic fuzzy sets,arithmetic mean operation,geometric mean operation

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