Upper and lower memberships in CWW

CWW, computing with words, is enriched by upper and lower membership functions. Upper and lower membership functions are the bounds identified by interval valued Type-2 fuzziness. Interval-valued Type-2 representation and reasoning exists in membership acquisition and in combination of linguistic concepts. Upper and lower membership functions capture both imprecision and uncertainty associated with meaning in CWW. A much more rich meaning of words can be represented and reasoned with when we use Full Type-2 membership functions. In Full Type-2 representation and reasoning, degrees of uncertainty are captured as well as their bounds. But this entails a more complex representation and reasoning.