scholarly journals Evolution of Concentric Fuzzy Hypergraph for Inclusive Decision Making

Fuzzy hypergraphs plays a pivotal role in reaching concrete resolutions at times when the circumstances of making decisions is characterized by uncertainty. Decision making is an integrated process involving the dominance of cognition in the nature of decision making environment and the associated factors. The process of making managerial decisions centres on state of affairs, which can be tackled with the formulation of Concentric Fuzzy Hypergraph, an extended concept of fuzzy hypergraph to arrive at compatible and feasible pronouncements. The notion of Concentric Fuzzy Hypergraph is introduced and a comprehensive decision making model with the integration of Fuzzy Cognitive Maps is proposed. This research work outlines the conceptual framework of Concentric Fuzzy hypergraph and presents a comparative analysis of concentric fuzzy hypergraphic approach with Fuzzy Cognitive maps over fuzzy hypergraphic approach to justify the efficiency of the former. The idea of concentric fuzzy hypergraph will certainly open new vistas in the field of decision making

Author(s):  
M. SHAMIM KHAN ◽  
SEBASTIAN KHOR ◽  
ALEX CHONG

Fuzzy cognitive maps are signed directed graphs used to model the evolution of scenarios with time. FCMs can be useful in decision support for predicting future states given an initial state. Genetic algorithms (GA) are well-established tools for optimization. This paper concerns the use of FCMs in goal-directed analysis of scenarios for aiding decision making. A methodology for GA-based goal-directed analysis is presented. The search for the initial stimulus state, that over time leads to a target state of interest, is optimized using GA. This initial state found can be used to answer the question – what course of events leads to a certain state in a given scenario?


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