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Types of Complex Fuzzy Relations with Applications in Future Commission Market
Author(s) -
Madad Khan,
Muhammad Zeeshan,
Seok-Zun Song,
Sohail Iqbal
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6685977
Subject(s) - mathematics , relation (database) , equivalence relation , fuzzy logic , transitive relation , defuzzification , fuzzy classification , antisymmetric relation , preorder , fuzzy subalgebra , fuzzy set operations , fuzzy number , fuzzy set , algebra over a field , pure mathematics , discrete mathematics , artificial intelligence , data mining , computer science , combinatorics , mathematical physics
In this paper, we introduce types of relations on complex fuzzy sets such as the complex fuzzy (CF) inverse relation, complex fuzzy reflexive relation, complex fuzzy symmetric relation, complex fuzzy antisymmetric relation, complex fuzzy transitive relation, complex fuzzy irreflexive relation, complex fuzzy asymmetric relation, complex fuzzy equivalence relation, and complex fuzzy-order relation. We study some basic results and particular examples of these relations. Moreover, we discuss the applications of complex fuzzy relations in Future Commission Market (FCM). We show that the introduction of CF relations to applications of FCMs can give a significant method for describing the temporal dependence between parameters of a Future Commission Market.

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