Abstract
We introduce the new type neutrosophic set (NS) problems relevant to multiple attribute decision making (MADM). Pythagorean fuzzy set (PFS) and neutrosophic set (NS) can be extended into new type neutrosophic set. We discusses new type neutrosophic weighted averaging (New type NWA), new type neutrosophic weighted geometric (New type NWG), generalized new type neutrosophic weighted averaging (new type GNWA) and generalized new type neutrosophic weighted geometric (new type GNWG). A number of algebraic properties of new type NSs have been established such as associativity, distributivity and idempotency.
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