| Summary: | In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> is an approximately involution on multi-fuzzy Banach algebra <i>A</i>, then there exists an involution <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> which is near to <i>f</i>. In addition, under some conditions on <i>f</i>, the algebra <i>A</i> has multi <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra structure with involution <i>H</i>.
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