*Ph.D. Research Scholar, Department of Mathematics, Hindustan University, Chennai- 91, India
**Head & Professor, Department of Mathematics, Hindustan University, Chennai-91, India
Online published on 10 February, 2015.
In this paper, we presents a new fuzzy tool called Trapezoidal Fuzzy Cognitive Maps(TpFCM) to analyze the social problem. Usually in Fuzzy Cognitive Maps (FCMs) we analyze the causes and effects of the relationships among the concepts to model the behavior of any system. But this new model gives the causes and effects of the relationships among the concepts to model behavior with ranking of any system. In our present-day society, where money is the measure of everything, the elderly are looked upon as an economic liability and a social burden. The prospect of loneliness often accompanies the process of aging. Many people get extremely panicky when they become old. In their earlier years, they never paused to think of this inevitability and now they are emotionally ill prepared to accept the fact. They become fearful and depressed. Old age has become a widespread social problem in our time. Improvement in diet, technology, and medicine has increased the longevity of a person. In this paper, we analyze the old age people problem using TpFCM. It is organized as follows: In first, we give the brief introduction to FCMs. Section two gives the basic definitions of FCM. In section three, we derive the definitions for TpFCM and Hidden pattern of the dynamical system. In fourth section, we analyzed the concept of the problem using TpFCM. In final section, we give the conclusion based on our study.
Fuzzy Cognitive Maps (FCMs), Unsupervised, Trapezoidal fuzzy numbers, Old age people