Implementation of anti-lattice ordered fuzzy soft groups and its matrix operations in deciding process

Article type: Research Article

Authors: Arockia Reeta, J. | Vimala, J.^{; *}

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: The concept of lattice ordered fuzzy soft groups(l- FSGs) was instigated by J. Vimala and J. Arockia Reeta. In this present work, we define anti- lattice ordered fuzzy soft groups (anti- l-FSGs) and extend anti- l-FSGs matrix with appropriate examples. Also we derive the properties relevant to anti- l-FSGs matrices with its distinctive operations. Furthermore, we have applied the bounded sum and bounded difference operations in real life deciding process to find the best solution.

Keywords: Anti- l-FSG, Anti- l-FSG matrix, De Morgan’s law

DOI: 10.3233/JIFS-18914

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4857-4864, 2018