Linear fuzzy system I need help if any one can help me
How to define a crisp number or crisp system?
Whats the difference between crisp number and fuzzy number?
And if there is any references. 
 A: Crisp logic is something like Boolean logic or what we know as classical logic. Either a statement is true or it is not: truth-value as dichotomous. 
Fuzzy logic(s) recognize that truth-value may not be dichotomous: it aims to capture the degree to which something is true (i.e., it sees truth-value probabilistically). It may be the case that a fuzzy number is a number assigned to measure the degree to which a statement is true. 
For more on Fuzzy Logic/fuzzy sets/ etc, see Wikipedia for a summary and additional links.
In parallel, we are seea distinction between crisp sets (set theory in the tradition of Cantor) and fuzzy sets see, e.g., Zadeh, 1965. See Wikipedia for more on Fuzzy Sets.. It seems that fuzzy numbers or fuzzy number systems are values /number system defined within fuzzy set theory. See more at Wikipedia: Fuzzy Number.
You might appreciate this youtube video: "From Crisp Logic to Fuzzy Logic by George Klir": it captures a lecture given at a Workshop discussing what some take to be "The Paradigm Shift in Mathematics."
