Similarity Measure of Lattice Ordered Multi-Fuzzy Soft Sets Based on Set Theoretic Approach and Its Application in Decision Making

Sabeena Begam S, Vimala J, Ganeshsree Selvachandran, Tran Thi Ngan and Rohit Sharma
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Sabeena Begam S: Department of Mathematics, Alagappa University, Karaikudi 630004, India
Vimala J: Department of Mathematics, Alagappa University, Karaikudi 630004, India
Ganeshsree Selvachandran: Department of Actuarial Science and Applied Statistics, Faculty of Business and Information Science, UCSI University, Jalan Menara Gading, Cheras, Kuala Lumpur 56000, Malaysia
Tran Thi Ngan: Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam
Rohit Sharma: Department of Electronics & Communication Engineering, SRM Institute of Science and Technology, Ghaziabad 201203, India

Mathematics, 2020, vol. 8, issue 8, 1-15

Abstract: Many effective tools in fuzzy soft set theory have been proposed to handle various complicated problems in different fields of our real life, especially in decision making. Molodtsov’s soft set theory has been regarded as a newly emerging mathematical tool to deal with uncertainty and vagueness. Lattice ordered multi-fuzzy soft set ( L M F S S ) has been applied in forecasting process. However, similarity measure is not used in this application. In our research, similarity measure of L M F S S is proposed to calculate the similarity between two L M F S S s . Moreover, some of its properties are introduced and proved. Finally, an application of L M F S S in decision making using similarity measure is analysed.

Keywords: soft set; fuzzy soft set; multi-fuzzy set; multi-fuzzy soft set; ?????; similarity measure of ????? (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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