A generalization of (∈,∈∨q)-fuzzy ternary subsemigroups.

Using more general form of quasi-coincident fuzzy points, the notion of (α~,<inline-graphic></inline-graphic>β~)<inline-graphic></inline-graphic>-fuzzy ternary subsemigroups is introduced. Several properties are discussed. Characterizations of (∈,<inline-graphic></inline-graphic>∈∨q0δ)<inline-graphic></inline-graphic>-fuzzy ternary subsemigroups are considered. Relations between(∈,<inline-graphic></inline-graphic>∈)<inline-graphic></inline-graphic>-fuzzy ternary subsemigroups and (∈,<inline-graphic></inline-graphic>∈∨q0δ)<inline-graphic></inline-graphic>-fuzzy ternary subsemigroups are provided. [ABSTRACT FROM AUTHOR]