Interval neutrosophic sets and topology
Francisco Gallego Lupiáñez
- Vol. 38, pp 110-112
TLDR
In this article, the relations between interval neutrosophic sets and topology were studied and the notion of neutro- sophic topology on the non-standard interval is also due to Smarandache.Abstract:
On 2005, F. Smarandache generalized the Atanassov's intuitionistic fuzzy setsto neutrosophic sets. Also, this author and some co-workers introduced the notion of interval neutrosophic set, which is an instance of neutrosophic set and studied various properties. The notion of neutro- sophic topology on the non-standard interval is also due to Smarandache. We study in this paper relations between interval neutrosophic sets and topology.read more
Citations
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Journal ArticleDOI
Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
TL;DR: The novel operations of simplified neutrosophic numbers (SNNs) are defined and a comparison method based on the related research of intuitionistic fuzzy numbers is developed and some SNN aggregation operators are proposed.
Journal ArticleDOI
An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets
TL;DR: In this paper, a new outranking approach for multi-criteria decision-making (MCDM) problems is developed in the context of a simplified neutrosophic environment, where the truth-membership degree, indeterminacy- membership degree and falsity-Membership degree for each element are singleton subsets in 0,1.
Posted Content
Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
TL;DR: The operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs), and two interval neutrosophic number aggregation operators are developed.
Journal ArticleDOI
Interval neutrosophic sets and their application in multicriteria decision making problems.
TL;DR: In this article, two interval neutrosophic number aggregation operators are developed for multicriteria decision-making problems and an example is provided to illustrate the application of the proposed method.
Journal ArticleDOI
An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in importing field
TL;DR: The objective is to demonstrate that the proposed technique of the ANP and VIKOR method can calculate key measurement for major import and export cities, as well as to provide fair and reliable forecasted outcomes.
References
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Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Non-standard analysis
TL;DR: The history of the calculus can be traced back to the Calculus of Differential and Integral Calculus (DIC) as discussed by the authors, which is a generalization of the integral calculus.
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TL;DR: The author makes an introduction to non-standard analysis, then extends the dialectics to neutrosophy which became a new branch of philosophy, which is the first logic that comprises paradoxes and distinguishes between relative and absolute truth.
Journal ArticleDOI
An introduction to intuitionistic fuzzy topological spaces
TL;DR: The basic concepts of the so-called “intuitionistic fuzzy topological spaces” are constructed, the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff space are introduced, and several preservation properties and some characterizations concerning fuzzy compactity and fuzzyconnectedness are obtained.
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A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability
TL;DR: It was a surprise for me when in 1995 I received a manuscript from the mathematician, experimental writer and innovative painter Florentin Smarandache that introduced two new concepts: a) "neutrosophy" - study of neutralities as an extension of dialectics; b) and its derivative "neUTrosophic", opening new ways of research in four fields: philosophy, logics, set theory, and probability/statistics.