12-04-2014, 02:35 PM
FUZZY AND NEUTROSOPHIC ANALYSIS OF PERIYAR’S VIEWS ON UNTOUCHABILITY
NEUTROSOPHIC ANALYSIS .pdf (Size: 993.76 KB / Downloads: 51)
BASIC NOTIONS OF
FCMS, FRMS, NCMS AND NRMS
The main motivation of this chapter is to make the book a
self contained one. In this chapter we just recall the basic
concepts of the fuzzy tools and the neutrosophic tools used
in this book for analyzing the vision of Periyar on
untouchability. This chapter has six sections. In section one
we just recall the definition of Fuzzy Cognitive Maps
(FCMs) and illustrate them with examples. Section two
gives the properties and some models of FCM. Section three
describes the notion of Fuzzy Relational Maps (FRMs). In
section four we introduce the concepts neutrosophy. Section
five gives the definition of Neutrosophic Cognitive Maps
(NCMs) and some of its properties. In the final section we
give the definition of Neutrosophic Relational Maps
(NRMs) and illustrate it by some models.
Definition of Fuzzy Cognitive Maps
In this section we recall the notion of Fuzzy Cognitive Maps
(FCMs), which was introduced by Bart Kosko [26] in the
year 1986. We also give several of its interrelated
definitions. FCMs have a major role to play mainly when
the data under consideration is an unsupervised one. Further
this method is most simple and an effective one as it can
analyse the data by directed graphs and connection matrices
and give the hidden pattern of the system. As we are more
interested to attract all types of reader we have not used
very high mathematics.