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study was conducted to determine the perception of farmers on extension
services of ADP in Kano state of Nigeria. Multistage sampling technique was
used, in which three local governments were randomly selected. Secondly, three wards
(divisions under local government) from the selected local governments
(Danbatta, Gaya and Madobi) were randomly selected. Thirdly, three villages
(one from each ward) were selected. The total number of sample respondent was
120, i.e. 40 farming households from each village. The data collected were
analyzed with SPSS using descriptive statistics, and Likert scale. The results
revealed that, farmers of 35 years of age and below have the highest percentage
and 105 out of 120 farmers interviewed were found to be literate. The farmers
ranked radio as first extension methods, followed by farm and home visit.
Finally, to satisfy their need, farmers should be involved in planning and
implementation of extension service.
This paper gives the concepts of extension error set and
fuzzy extension error set, discusses diverse extension error set and fuzzy
extension error set based on extension set and error set, and puts forward the
relevant propositions and operations. Finally, it provides proofs of the
soundness and completeness for the propositions and operations.