AbstractsMathematics

One of the most important features of fuzzy set theory is its potential for the modeling of natural language expressions. Most works done on this topic focus on some parts of natural language, mostly those that correspond to the so-called “evaluating linguistic expressions”. We build constraints for the mathematical substitutes of these expressions to mark characteristic limits on an ordered scale. In the current work we form families of constraints which originate from one function. By introducing a parameter in the initial membership function we can model the rest of family functions, whose shapes depend only on a number of functions and the length of a reference set. This procedure fits perfectly for being a segment of computer programs, where the loops providing us with many functions need only the initializations of two data values.