Combination Of The Single Valued Neutrosophic Fuzzy Set And The Soft Set With Applications In Decision Making
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| Author | : Ahmed Mostafa Khalil |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : 2020-08-14 |
| Genre | : Mathematics |
| ISBN | : |
In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented.
| Author | : Qaisar Khan |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Smarandache introduced the concept of neutrosophic set which is the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical tool to handle incomplete, inconsistance and vague information. In this work, we propose the concept of multi Q-single valued neutrosophic soft expert set and its basic operations such as, union, intersection, complement, And and OR.
| Author | : Emad Marei |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.
| Author | : Chiranjibe Jana |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties.
| Author | : Rajashi Chatterjee |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, we have investigated single valued neutrosophic multisets in detail. Several operations have been de ned on them and their important algebraic properties are studied.We have further introduced the notion of distance and similarity measures between two single valued neutrosophic multisets. An application of single valued neutrosophic multisets in medical diagnosis has been discussed.
| Author | : Chiranjibe Jana |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In present study, a new aggregation operators of single-valued neutrosophic soft numbers have so far not yet been applied for ranking of the alternatives in decision-making problems.
| Author | : K. M. Alsager |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we proposed the notion of single valued neutrosophic hesitant fuzzy rough set, by combining single valued neutrosophic hesitant fuzzy set and rough set. The combination of single valued neutrosophic hesitant fuzzy set and rough set is a powerful tool for dealing with uncertainty, granularity and incompleteness of knowledge in information systems. We presented both definition and some basic properties of the proposed model. Finally, we gave a general approach which is applied to a decision making problem in disease diagnoses, and demonstrated the effectiveness of the approach by a numerical example.
| Author | : Majdoleen Abu Qamar |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation.
| Author | : Bui Cong Cuong |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : |
| ISBN | : |
The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects.
| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 714 |
| Release | : 2019-11-27 |
| Genre | : Technology & Engineering |
| ISBN | : 3039219383 |
This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.
