An algorithmic-based multi-attribute decision making model under intuitionistic fuzzy environment

Article type: Research Article

Authors: Aggarwal, Eshika | Mohanty, B.K.^{; *}

Affiliations: Department of Decision Sciences, Indian Institute of Management, Lucknow, India

Correspondence: [*] Corresponding author. B.K. Mohanty, Department of Decision Sciences, Indian Institute of Management, IIM campus, IIM Road, Lucknow - 226 013, Uttar Pradesh, India. +915226696545; E-mail: [email protected].

Abstract: An outranking procedure for Multi-Attribute Decision-Making (MADM) problems is introduced in our work that acts as a decision-aid in recommending the products to the buyers. The buyer’s product assessment is taken as Interval-Valued Intuitionistic Fuzzy Sets (IVIFS) in each attribute. The confidence level that is implicit in the buyer’s product rating is explicated in the proposed work using fuzzy entropy. As the confidence level of the buyer on the product assessment is for both satisfaction and reluctance, it is suitably distributed in membership and non-membership parts of IVIFS. Our work generates a dominance matrix that represents partial or full dominance of one product over another after scoring the products that are unified with buyer’s confidence. The proposed work suggests the product ranking after ascertaining the buyer’s flexibility. An algorithm is written in our work to validate the procedure developed. We have compared our work with other similar works to highlight the benefits of the proposed work. A numerical example is illustrated to highlight the procedure developed.

Keywords: Interval-valued Intuitionistic fuzzy sets, confidence, partial dominance matrix, outranking, flexibility behaviour

DOI: 10.3233/JIFS-212026

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 6, pp. 5537-5551, 2022