A general approach to linguistic approximation and its application in frame of fuzzy logic deduction

Subject Areas : International Journal of Industrial Mathematics

Rasoul Saneifard ¹ , Rahim Saneifard ²

1 - Department of Engineering Technology, Texas Southern University, Houston, Texas, USA.
2 - Department of Applied Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.

Received: 2015-07-07 Accepted : 2015-07-07 Published : 2015-07-01

Keywords: fuzzy sets, Regular Function, Defuzzification, Informativeness, Validity,

Abstract :

‎This paper deals with one problem that needs to be addressed in the emerging field known under the name computing with perceptions‎. ‎It is the problem of describing‎, ‎approximately‎, ‎a given fuzzy set in natural‎ ‎language‎. ‎This problem has lately been referred to as the problem of retranslation‎. ‎An approaches to ‎dealing with the retranslation problem is discussed in the paper‎, ‎that is based on a pre-defined set of ‎linguistic terms and the associated fuzzy sets‎. ‎The retranslation problem is discussed in ‎terms of two criteria validity and informativeness‎.