Note on lexicographical ordering
Journal Title: International journal of Emerging Trends in Science and Technology - Year 2017, Vol 4, Issue 5
Abstract
Farhadinia (2016) developed a lexicographical ordering with respect to hesitant fuzzy elements. In this article, we will demonstrate that his novel approach fails to satisfy the following three issues: (i) His ranking is contradicted with previous existing results, (ii) His advantages for repeated items is no longer valid after we adjust hesitant fuzzy elements with the same length and (iii) His proof for the component-wise ordering being preserved by his new ranking method is redundant. Our derivations will help researchers realize questionable results of the novel lexicographical ordering proposed by Farhadinia (2016).
Authors and Affiliations
Cheng-Tan Tung
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