Application of lattice ordered interval valued intutitionistic fuzzy soft sets in decision-making

Article type: Research Article

Authors: Kashif, Agha | Rashid, Tabasam | Noor, Bibi | Sindhu, Muhammad Sarwar^{; *}

Affiliations: Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Correspondence: [*] Corresponding author. Muhammad Sarwar Sindhu, Department of Mathematics, University of Management and Technology, Lahore-54770, Pakistan. E-mail: [email protected].

Abstract: Motivated by intuitionistic fuzzy sets and soft sets, a novel concept of lattice ordered interval-valued intuitionistic fuzzy soft sets (LOIVIFSSs) is introduced in this article. Operational rules like union, intersection, complement and some properties of LOIVIFSSs are demonstrated with examples. In this regard, an algorithm is developed to solve the multiple criteria decision-making (MCDM) problems based on LOIVIFSSs. Further, a benchmark problem concerning medical diagnosis have been investigated and a comparative analysis with existing technique is furnished to strengthen our approach.

Keywords: Fuzzy sets, intuitionistic fuzzy sets, soft sets, lattice

DOI: 10.3233/JIFS-211376

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 4, pp. 3417-3430, 2022