Complex intuitionistic fuzzy classes

Complex neutrosophic concept lattice and its applications to air quality analysis

“…The covering objects set can be found by ( ↓ ) as follows: Step (4). Apply the up operator ↑ on the constituted objects set: Step (5) The obtained pair of complex neutrosophic set of objects and attributes ( A, B ) represents the Lower Neighbor of given concept.…”

“…3 Hence it is a major problem for the researchers to measure the pattern of AQI to control or reduce its effect on human life via providing some guidelines. To deal with this type of data sets recently one of the researcher tried to measure the uncertainty and its fluctuations based on its acceptation, rejection and uncertain part [3][4][5] . This method gives a way to characterize the complex data set based on its truth, falsity and indeterminacy-membership-values, independently with their periodic phase of time in the graphs [10] .…”

“…In this process, an important problem was addressed while handling the three-way fuzzy attributes [26][27][28] that how to measure their changes at given phase of time. To achieve this goal, properties of complex neutrosophic sets [3][4][5] and its graphs [10] are introduced for handling multi-decision attributes [9,25,28,33] . This extensive version of complex fuzzy set [1,2,29,30] and its properties in the neutrosophic or three-way polar space [31][32][33] given a new orientation to analyze the data sets E-mail addresses: premsingh.csjm@gmail.com , premsingh.csjm@yahoo.com based on applied abstract algebra [1,2,15,21,[37][38][39] .…”

“…Towards this extension recently, Singh [26][27][28] introduces properties of neutrosophic [26,27] and complex vague set [25] based concept lattice for precise approximation of computational linguistics exists in threeway decision space [47,48] . In this process a problem is addressed while handling the changes in three-way fuzzy attributes based on its truth, indeterminacy and falsity membership-values [3][4][5]10] . One of the suitable example is 22 °C temperature used to consider as a cool in summer seasons, warm in winter season whereas fair (or uncertain) in spring season.…”

“…To conquer this problem recently, some of the researchers tried to represent them using the calculus of complex neutrosophic sets [3][4][5] and its graph theory [10] for multi-decision process [9,18,28,36] at δ-granulation [43][44][45][46][47][48] . However, none of the available approaches described any ways to find some of the useful pattern exists in the complex neutrosophic contexts for knowledge processing tasks.…”