Abstract
This paper presents the concept of an interval-valued intuitionistic fuzzy subgroup defined on interval-valued intuitionistic fuzzy sets. We study some of the fundamental algebraic properties of interval-valued intuitionistic fuzzy cosets and interval-valued intuitionistic fuzzy normal subgroup of a given group. This idea is used to describe the interval-valued intuitionistic fuzzy order and index of interval-valued intuitionistic fuzzy subgroup. We have created numerous algebraic properties of interval-valued intuitionistic fuzzy order of an element. We also prove the interval-valued intuitionistic fuzzification of Lagrange’s theorem.
Highlights
In 2009, Park et al [5] investigated the IVIFS correlation coefficient and its application to multi-attribute group decision-making situations
In 2018, Qin et al [25] proposed a novel technique based on ordered weighted averaging distance operators for interval-value intuitionistic fuzzy multi-criteria decision making with immediate probability. e VIKOR technique for industrial robot selection was presented by Narayanamoorthy et al [26]
Assume that there exists an IVIFSGP of a group G; the interval-valued intuitionistic fuzzy order (IVIFO) of any element of P divides G’s order
Summary
In 2009, Park et al [5] investigated the IVIFS correlation coefficient and its application to multi-attribute group decision-making situations. In 2013, Zhang et al [9] proposed an interval-valued intuitionistic fuzzy multi-attribute group decision-making method based on correlation coefficients. In 2018, Zhang [21] proposed the geometric Bonferroni means of interval-valued intuitionistic fuzzy numbers and their use in multi-attribute group decision making.
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