Intuitionistic fuzzy parameterized fuzzy soft set theory and its application

Issue title: Special Section: Intelligent tools and techniques for signals, machines and automation

Guest editors: Smriti Srivastava, Hasmat Malik and Rajneesh Sharma

Article type: Research Article

Authors: Joshi, Bhagawati Prasad ^{a; *} | Kumar, Abhay^b | Singh, Akhilesh^b | Bhatt, Pradeep Kumar^c | Bharti, Bhupender Kumar^d

Affiliations: [a] Department of Applied Sciences, SEI Pithoragarh, Uttarakhand, India | [b] Department of Electrical Engineering, SEI Pithoragarh, Uttarakhand, India | [c] Department of Electronics and Communication Engineering, SEI Pithoragarh, Uttarakhand, India | [d] Department of Mechanical Engineering, SEI Pithoragarh, Uttarakhand, India

Correspondence: [*] Corresponding author. Bhagawati Prasad Joshi, Department of Applied Sciences, SEI Pithoragarh, Uttarakhand, India. E-mail: [email protected].

Abstract: This paper presents the opinion of intuitionistic fuzzy parameterized fuzzy soft set (IFP-FS set) by considering the images of approximate function in the fuzzy subsets of the set of universe of discourse rather than to a crisp subset. Some of the desired operations and relations of IFP-FS set are also considered in this study. A decision making approach based on the proposed IFP-FS set is used. Finally, an example is conducted which illustrates that the proposed approach can be use for many real life problems that include ambiguities and uncertainties.

Keywords: Soft-set’s, fuzzy sets (FSs), intuitionistic fuzzy sets (IFSs), intuitionistic FP-soft set

DOI: 10.3233/JIFS-169805

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 5, pp. 5217-5223, 2018