Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The consistency of reciprocal preference relations is studied. Consistency is related with rationality, which is associated with the transitivity property. For fuzzy preference relations many properties have been suggested to model transitivity and, consequently, consistency may be measured according to which of these different properties is required to be satisfied. Hover,  will show that many of them are not appropriate for reciprocal preference relations.  put forward a functional equation to model consistency of reciprocal preference relations, and show that self-dual uninorms operators are the solutions to it. In particular, Tanino's multiplicative transitivity property being an example of such type of uninorms seems to be an appropriate consistency property for fuzzy reciprocal preferences.
['Francisco Chiclana', 'Enrique Herrera-Viedma', 'Sergio Alonso', 'Francisco Herrera']
I am writing a research paper on a idea Consistency of Reciprocal Preference Relations
[{"from": "human", "value": "I am writing a research paper on a idea Consistency of Reciprocal Preference Relations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The consistency of reciprocal preference relations is studied. Consistency is related with rationality, which is associated with the transitivity property. For fuzzy preference relations many properties have been suggested to model transitivity and, consequently, consistency may be measured according to which of these different properties is required to be satisfied. Hover,  will show that many of them are not appropriate for reciprocal preference relations.  put forward a functional equation to model consistency of reciprocal preference relations, and show that self-dual uninorms operators are the solutions to it. In particular, Tanino's multiplicative transitivity property being an example of such type of uninorms seems to be an appropriate consistency property for fuzzy reciprocal preferences."}]