Crisp sets as classes of discontinuous fuzzy sets
نویسندگان
چکیده
منابع مشابه
Can We Detect Crisp Sets Based Only on the Subsethood Ordering of Fuzzy Sets? Fuzzy Sets and/or Crisp Sets Based on Subsethood of Interval-Valued Fuzzy Sets?
Fuzzy sets are naturally ordered by the subsethood relation A ⊆ B. If we only know which set which fuzzy set is a subset of which – and have no access to the actual values of the corresponding membership functions – can we detect which fuzzy sets are crisp? In this paper, we show that this is indeed possible. We also show that if we start with interval-valued fuzzy sets, then we can similarly d...
متن کاملPoverty Reduction - Fuzzy Sets vs. Crisp Sets Compared
This paper examines the results of economic poverty reduction modelling in selected countries 1992-2002 using the fuzzy set method (fsQCA) and the crisp set method (csQCA). The fsQCA and csQCA are the two main configurational comparative methods (CCM). This paper primarily focuses on making sensitivity assessments of the fsQCA and csQCA results. The outcomes of CCM based on the truth table algo...
متن کاملFuzzy Sets Can Be Interpreted as Limits of Crisp Sets, and This Can Help to Fuzzify Crisp Notions
Fuzzy sets have been originally introduced as generalizations of crisp sets, and this is how they are usually considered. From the mathematical viewpoint, the problem with this approach is that most notions allow many different generalizations, so every time we try to generalize some notions to fuzzy sets, we have numerous alternatives. In this paper, we show that fuzzy sets can be alternativel...
متن کاملNeutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces
In this paper, we generalize the crisp topological space to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the definitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces. Finally, some characterizations concerning neutrosophic crisp compact spaces are ...
متن کاملFuzzy Sets As Strongly Consistent Random Sets
It is known that from the purely mathematical viewpoint, fuzzy sets can be interpreted as equivalent classes of random sets. This interpretations helps to teach fuzzy techniques to statisticians and also enables us to apply results about random sets to fuzzy techniques. The problem with this interpretation is that it is too complicated: a random set is not an easy notion, and classes of random ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2009
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2009.06.003