A study on fuzzy soft cardinality in lattice ordered fuzzy soft group and its application in decision making problems

Issue title: Special Section: Soft Computing and Intelligent Systems: Techniques and Applications

Guest editors: Sabu M. Thampi, El-Sayed M. El-Alfy, Sushmita Mitra and Ljiljana Trajkovic

Article type: Research Article

Authors: Vimala, J.^{; *} | Reeta, J. Arockia | Ilamathi, V.S. Anusuya

Affiliations: Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India

Correspondence: [*] Corresponding author. J. Vimala, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. E-mail: vimaljey@alagappauniversity.ac.in.

Abstract: Aktas and Cagman propounded soft group in 2007 and Abdulkadir Aygunoglu and Halis Aygun defined fuzzy soft group in 2009. In 2016, J. Vimala and J. Arockia Reeta proposed lattice ordered fuzzy soft group and derived its pertinent properties. In this work, fuzzy soft cardinality and fuzzy soft relative cardinality are promoted in lattice ordered fuzzy soft group. Then we give decision making method that can be applied successfully for solving many problems with uncertainties.

Keywords: l-Fsg, fuzzy soft cardinality, fuzzy soft relative cardinality

DOI: 10.3233/JIFS-169448

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1535-1542, 2018