Operations on hesitant fuzzy sets: Some new results

Article type: Research Article

Authors: Verma, Rajkumar^*

Affiliations: Department of Applied Sciences, HMR Institute of Technology and Management (Affiliated to Guru Govind Singh Indraprastha University, Delhi), Hamidpur, Delhi, India

Correspondence: [*] Correspondence to: Dr. Rajkumar Verma, Department of Applied Sciences, HMR Institute of Technology and Management (Affiliated to Guru Govind Singh Indraprastha University, Delhi), Hamidpur, Delhi-110036, India. Tel.: +91 8595339230; Fax: +91 11 27724113; rkver83@gmail.com

Abstract: Hesitant fuzzy sets, introduced by Torra and Narukawa [10] present a powerful tool for study of hesitancy in decision making. The main strength of this generalization will be realized by studying the properties and the operations that can be defined on hesitant fuzzy sets. This paper presents a number of properties in the light of operations defined by Torra [11] and Xia and Xu [13] on hesitant fuzzy sets.

Keywords: Fuzzy sets, fuzzy multi-sets, intuitionistic fuzzy set, hesitant fuzzy sets

DOI: 10.3233/IFS-151568

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 43-52, 2015