(IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 6, No. 7, 2015 87 | Page www.ijacsa.thesai.org Using Induced Fuzzy Bi-Model to Analyze Employee Employer Relationship in an Industry Dhrubajyoti Ghosh Department of Mathematics National Institute of Technology, Durgapur Durgapur, India Anita Pal Department of Mathematics National Institute of Technology, Durgapur Durgapur, India Abstract—The employee-employer relationship is an intricate one. In an industry, the employers expect to achieve performances in quality and production in order to earn profit, on the other side employees need good pay and all possible allowances and best advantages than any other industry. Our main objective of this paper is to analyze the relationship between employee and employer in workplace and discussed how to maintain a strong employee and employer relationship which can produce the ultimate success of an organization using Induced Fuzzy bi-model called Induced Fuzzy Cognitive Relational Maps (IFCRMs). IFCRMs are a directed special fuzzy digraph modelling approach based on expert's opinion. This is a non statistical approach to study the problems with imprecise information. Keywords—Fuzzy Cognitive Map; Fuzzy Relational Maps; Fuzzy Cognitive Relational Maps; Induced Fuzzy Cognitive Relational Maps; Fuzzy bi-model; employee employer relationship I. INTRODUCTION The fuzzy model is a finite set of fuzzy relations that form an algorithm for determining the outputs of a process from some finite number of past inputs and outputs. Fuzzy model can be used in applied mathematics, to study social and psychological problem and also used by doctors, engineers, scientists, industrialists and statisticians. Fuzzy models are mathematical tools introduced by L.A. Zadeh (1965). Later Politician scientist Axelord (1976) used this fuzzy model Coginitive Maps (CMs) to study decision making in social and political systems. CMs are signed digraphs designed to represent causal assertion and belief system of a person (or group of experts) with respect to a specific domain, and use that statement in order to analyze the effect of a certain choice on a particular objective. Using the concepts of neural networks and fuzzy logical approach Bart Kosko (1986) proposed some models which extend the idea of Cognitive Maps by allowing the concepts to be represented linguistically with an associated fuzzy set. These models are well suited to get a clear representation of the knowledge to support decision making process and assist in the area of computational intelligence, which involves the application of soft computing methodologies even though the given inputs are vague, uncertain and even contradictory in nature. There are various types of fuzzy models like Fuzzy Cognitive Maps (FCMs), Fuzzy Relational Maps (FRMs), Fuzzy Relational Equations (FREs), Induced Fuzzy Cognitive Maps (IFCMs). Those models plays a vital role in several real world data problems like various infectious diseases problems (cancer, tuberculosis, migration etc.), student life in rural area, problems of private employees in their day to day life, effects of social networks on children's daily life etc. In this paper we use fuzzy bi-model called Induced Fuzzy Cognitive Relational Maps (IFCRMs) which is a directed bi-graph with concepts like policies, events, etc. as nodes and causalities as edges. It represents causal relationship between concepts. This fuzzy bi- model studied various social problems. Among these problems we are going to discuss about a particular one. Recent years deals with one of the key human resources (HR) issues in current working life, namely employee relations. Employee relations is a term used to describe a company's efforts to prevent and resolve problems arising from situations at work. In this paper we have focused on employee relation programs and its essential elements which increase employee satisfaction and good morale among workers. Happy workers are more productive, and more productive means a better bottom line for an industry. This paper have organized in nine section. Section one contains introduction. Section two represents basic definition of FCMs and FRMs models. Section three describes about fuzzy bi-model method. Section four gives the idea of FCRMs. Section five gives the mathematical approach of FCRMs of discussed problems. Section six gives the idea of IFCRMs. Section gives the mathematical approach of IFCRMs of discussed problems. Section eight describes the difference between FCRMs and its induced form IFCRMs. Section nine conclusions based on our study. II. FUZZY MAPPING Before the discussion of FCMs we describe about the CMs. CMs were introduced by Axelord (1976), in order to develop and study social scientific knowledge in the field of decision making in activities related to international politics. CMs are signed digraphs designed to represent causal assertion and belief system of a person (or group of experts) with respect to a specific domain, and use that statement in order to analyze the effect of a certain choice on particular objectives. A. Fuzzy Cognitive Maps Fuzzy Cognitive Maps (FCMs) introduced by Kosko (1986) extend the idea of Cognitive Maps by allowing the concepts to be represented linguistically with an associated fuzzy set. FCMs are fuzzy signed digraph with feedback (Kosko, 1986, 1988). It represents causal relationship between concepts. FCMs list the fuzzy rule or causal flow paths that relate events.