A unified approach to four important classes of unary operators

In this paper, we study operator dependent modifiers and interpret the dual pair of modal operators based on an algebraic definition. It is a known fact that substantiating weakening modifier can be induced by repeating arguments conjunctive disjunctive operators. We provide conditions for which these satisfy requirements necessity possibility Next, necessary sufficient condition distributivity unary over presented. This also means setting as requirement results in identical to mentioned above. Using property, establish important connection between linguistic hedges. Previously, demonstrated compositions two strong negations Here, view negation operator. Then, it shown (1) negations, (2) operators, hedges above, (3) are distributive may viewed special cases unified class.