In the literature several articles are present using Atannasov's Intuitionistic fuzzy set. But beyond it, it is hardly possible to handle and operate with non-Atannasov's intuitionistic fuzzy sets for any kind of decision making process.
In this case use hesitant fuzzy sets. For more details see special issue of International Journal of Intelligent Systems 29(2014) on Hesitant Fuzzy Sets
Dear prof. Beg., my question was based on non-Atannasov's intuitionistic fuzzy set. In your suggested topic , the hesitant degree is called Atannasov's index. I want to discuss over the following article : Didier Dubois, Siegfried Gottwald, Petr Hajek, Janusz Kacprzyk, Henri Prade , 2005, “ Terminological difficulties in fuzzy set theory—The case of “Intuitionistic Fuzzy Sets”156 (3) PP 485-491,
Dear prof. Beg., my question was based on non-Atannasov's intuitionistic fuzzy set. In your suggested topic , the hesitant degree is called Atannasov's index. I want to discuss over the following article : Didier Dubois, Siegfried Gottwald, Petr Hajek, Janusz Kacprzyk, Henri Prade , 2005, “ Terminological difficulties in fuzzy set theory—The case of “Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, 156 (3) PP 485-491,
Thank you for sending me this value able paper. It answers the question raised by it. IFS is used in two different ways by both the groups. In fact the term "fuzzy set" itself is controversial. Logician called it set-valued set theory. There is nothing fuzzy in fuzzy set. So future will decide who will prevail in IFS.