Professor Dr Daud Mohamad
Faculty of Computer and Mathematical Sciences
UNIVERSITI TEKNOLOGI MARA

Z-NUMBER IN THE EVOLUTION OF FUZZY LOGIC

The concept of fuzzy logic introduced by Zadeh in 1965 has changed the views of many in looking at the computing theory. The term “Computing with Words” (CWW) has become a new jargon for the next generation of artificial intelligence where now uncertainties are now possibly represented in the form of a natural language using fuzzy logic. It extends the manipulation of measurement which normally in numbers and symbols to the manipulation of perception. In 2012, Zadeh coined another new concept known as the Z-number to facilitate the theoretical advancement of the CWW that incorporate the reliability factor. By definition a Z-number is an ordered pair of fuzzy numbers (A,B) associated with variable X where A representing the restriction on the value of X can take and B measures the reliability or certainty of A. The Z-number is considered to have the highest level of generality of uncertain computation and it opens a new horizon to the construction of better models of reality. The Z-number is envisaged to play a dominant role in shaping the future of computing. In this presentation, we will discuss on the historical development of fuzzy logic until the birth of the Z-number concept and the existing applications of Z-number. We will also present some possible directions of its theoretical development and applications.

Biography of Prof Dr Daud Mohamad
Daud Mohamad is a Professor in Mathematics at the Universiti Teknolgi MARA, Malaysia where he has joined the institution since 1986. He obtained his secondary education at the MARA Junior Science College, Kuantan before pursuing his Bachelor Degree in Mathematics at the University of Tasmania, Australia in 1990. He received his Master degree in Mathematics from the Universiti Kebangsaan Malaysia in 1993 and further his study to PhD level at the University of Swansea, Wales, United Kingdom in 1995 and completed it in 1999 specializing in the area of geometric function theory. He is the Vice President of the Malaysian Mathematical Sciences Society since 2015 and a member of the American Mathematical Society since 2008. His current interest in research is in the area of fuzzy mathematics and fuzzy logic, in particular in the area of fuzzy decision making. He has published and presented more than 100 papers related to fuzzy mathematics and geometric function theory.