Affiliations: [a] Department of Mathematics, University College of Engineering, Panruti (A Constituent College of Anna University, Chennai), Panruti-607106, Tamilnadu, India | [b] Department of Mathematics, MEASI Academy of Architecture, Chennai, Tamilnadu, India | [c] Department of Mathematics, C. Abdul Hakeem College of Engineering and Technology, Melvisharam, Tamilnadu, India
Correspondence:
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Corresponding author. Srinivasan Vijayabalaji, Department of Mathematics, University College of Engineering, Panruti (A Constituent College of Anna University, Chennai), Panruti-607106, Tamilnadu, India. E-mail: [email protected].
Abstract: The impetus of this paper is to broaden the structure of linguistic soft set (LSS) to a new domain namely sigmoid valued fuzzy soft set (SVFSS). Some operating laws on SVFSS are also provided. Using the complement concept on SVFSS we define maximum rejection. This maximum rejection paves a way for defining a new similarity measure on SVFSS termed as maximum likely ratio (MLR). A new MCGDM algorithm for SVFSS is proposed using MLR. An illustrative example of haze equipment problem on sigmoid valued fuzzy soft set setting is also given. A comparative analysis of our approach with the existing approaches are also presented to justify our work.
Keywords: Sigmoid valued fuzzy soft set, maximum rejection, maximum likely ratio, generalized maximum likely ratio, weighted maximum likely ratio
