A Novel VIKOR-TODIM Approach Based on Havrda–Charvat–Tsallis Entropy of Intuitionistic Fuzzy Sets to Evaluate Management Information System

Abstract

The utilisation of Management information system has grabbed the attention since last decades. The selection of management sources is a difficult assignment for decision-experts. Thus, the present article develops a new technique using entropy measures and a novel extended VIKOR-TODIM model of Intuitionistic Fuzzy Sets. A new parametric entropy measure based on Havrda-Charvat-Tsallis entropy for a probability distribution is proposed and discussed their particular cases. Some properties of this measure has been proved mathematically. A comparison of proposed entropy measure with several existing entropy measures is shown to demonstrate the consistency of the proposed approach. In this paper, we proposed an integrated approach based on VIKOR and TODIM and entropyweighted method for solving multi-criteria decision-making problems under intuitionistic fuzzy environment and the criteria weights are partial known. Firstly, the problem with multi-criteria decisionmaking is designed and the steps, principles of the proposed VIKOR-TODIM method are presented. Finally, to verify the applicability and feasibility of the proposed approach, a problem of management information system in a teaching hospital is presented and compared the results with other existing methods. The present work demonstrated, that the proposed VIKOR-TODIM is effective to select and evaluate management information system in any organisation.

A New Picture Fuzzy Entropy and Its Application Based on Combined Picture Fuzzy Methodology with Partial Weight Information

“…They proposed two families of information measure for IFSs. Let the finite universe of discourse be and an IFS , the two forms of are as follows: and Further, the modified version of Hung and Yang [ 41 ] information measure proposed by Arya and Kumar [ 12 ] is given as follows: where , is the degree of membership, is the degree of non-membership, is the degree of hesitancy, respectively, and .…”

“…Particular Cases: If then ( 13 ) becomes an extension of Hung and Yang [ 41 ] IF entropy for picture fuzzy set as : If and , then ( 13 ) becomes Hung and Yang [ 41 ] entropy . If (neutral degree), then proposed entropy alters into an IF entropy studied by Arya and Kumar [ 12 ]: If , then ( 13 ) recovers the fuzzy entropy: where . If and , then ( 13 ) recovers Deluca and Termini [ 36 ] entropy: i.e., …”

“…If (neutral degree), then proposed entropy alters into an IF entropy studied by Arya and Kumar [ 12 ]: …”

“…However, an IFS is a powerful tool in expressing vague and uncertainty of decision problems. Some prominent applications of intuitionistic FSs can be found in decision-making [ 12 – 17 ], medical diagnosis [ 18 , 19 ], and pattern recognition [ 19 , 20 ]. IFSs lack a key concept, i.e., neutral degree, which has an important role in diverse situations such as personal selection, human voting, and medical diagnosis, which may limit their applications.…”