Fuzzy Zero Operator, Fuzzy Q Operator and Its Properties

New fuzzy operators located within Zadeh operators and zero operators

“…To any fuzzy set , ( ) A B P U ∈ , ∀u∈U, the K operators ( K , K ),the zero operators ( 0 , 0 ) [1] and the Zadeh operators have relation as follows:…”

“…The zero operators are the boundary operator located within Zadeh operators, the Q operators are a new class of continuous fuzzy operators located within Zadeh operators [1] and the K operators are another new class fuzzy operators located within Zadeh operators and zero operators.…”

“…To any fuzzy set , ( ) A B P U ∈ ,∀u∈U,Zadeh product operator and Zadeh sum operator, zero product operator and zero sum operator have relation [1,8] as follows …”

“…There is a lot of discussion about the fuzzy operators located outside Zadeh operators [3,4,5,6,7] , but there is little discussion about the fuzzy operators located within Zadeh operators. The article [1] first constructed fuzzy zero operators located within Zadeh operators and constructed fuzzy Q operators located within Zadeh operators and proved that fuzzy zero operators are the boundary operator located within Zadeh operators and fuzzy Q operators are a new class of continuous fuzzy operators located within Zadeh operators. By analyzing relation between Zadeh operator and three common generalized operators (probability operators, Boundary operators and infinite operators), this paper discussed membership relation in Zadeh operator and three generalized operator in common use, and constructed fuzzy K operators located within Zadeh operators and zero operators.…”

“…Based on the results of the Fuzzy responded vector and maximum rule, the automation of control system commands the Fuzzy controller to run.If the automation of control system runs Fuzzy composition operation by Zadeh operators, we can get a Here, based on the results of Fuzzy responded vector(11) and maximum rule it is impossible for the Fuzzy controller to operate the sole command.If the automation of control system runs Fuzzy composition operation by zero operators[1] , we can get a If the automation of control system runs Fuzzy composition operation by K operators, we can get a Fuzzy Here, based on the results of Fuzzy responded vector (13) and maximum rule it is possible for the Fuzzy controller to operate the first command.…”