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We introduce the concept of a soft ditopological space as the "soft generalization" of the concept of a ditopological space as it is defined in the papers by L.M. Brown and co-authors, see e.g. L. M. Brown, R. Erturk, S. Dost,…

General Mathematics · Mathematics 2016-10-23 Tugbahan Simsekler Dizman , Alexander Sostak , Saziye Yuksel

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

Artificial Intelligence · Computer Science 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations $ \tilde{+}, \tilde{-}, \tilde{\times}, \tilde{\div} $ and related properties. Also introduce Hausdorff distance,…

General Mathematics · Mathematics 2021-12-28 Manash Jyoti Borah , Bipan Hazarika

Since categories are graphs with additional "structure", one should start from fuzzy graphs in order to define a theory of fuzzy categories. Thus is makes sense to introduce categories whose morphisms are associated with a plausibility…

Logic in Computer Science · Computer Science 2014-10-07 Apostolos Syropoulos

In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and…

Functional Analysis · Mathematics 2015-09-10 Müzeyyen Ertürk , Vatan Karakaya , M. Mursaleem

Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and…

General Mathematics · Mathematics 2015-03-13 T. K. Samanta , Iqbal H. Jebril

A description of many constituent (particle) systems with fuzzy initial conditions is proposed with the help of the field language. In this language correlation functions are defined and equations for them are derived in the free Fock…

Mathematical Physics · Physics 2008-07-10 Jerzy Hanckowiak

The product of a non-commutative matrix spectral triple with a simple two-dimensional internal space is considered. This is interpreted as a non-commutative spacetime that contains one charged Dirac fermion and its antiparticle. The inner…

Mathematical Physics · Physics 2026-04-22 John W. Barrett , Joseph Burridge

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

The concept of fuzzy soft set was introduced for the first time by Maji et al. in 2002, and was considered sharply from applicable aspects to theoretical aspects by a wide range of researchers. In this paper the concept of fuzzy soft norm…

Functional Analysis · Mathematics 2013-10-04 A. Zahedi Khameneh , A. Kilicman , A. R. Salleh

In this paper, we introduce a new type fuzzy boundary and study some related set theoretic identities. Further, this new type of fuzzy boundary is compared with different existing fuzzy boundaries.

General Mathematics · Mathematics 2012-08-13 J. Mahanta , P. K. Das

We introduce non-commutative algebras, which can be associated with the function algebra of functions on a finite or half-finite cylinder. The algebras, which depend on a deformation parameter, are crossed product algebras of a partial…

Quantum Algebra · Mathematics 2023-09-12 Andreas Sykora

Fuzzy implication functions have been widely investigated, both in theoretical and practical fields. The aim of this work is to continue previous works related to fuzzy implications constructed by means of non necessarily associative…

In this paper Lowen type multi-fuzzy topological space has been introduced and characterization of topology by its nbd system is studied. Also the product multi-fuzzy topological space has been introduced and it has been investigated that…

General Mathematics · Mathematics 2018-04-17 Moumita Chiney , S. K. Samanta

This paper presents a comparative study of three kinds of ideals in fuzzy order theory: forward Cauchy ideals (generated by forward Cauchy nets), flat ideals and irreducible ideals, including their role in connecting fuzzy order with fuzzy…

General Mathematics · Mathematics 2018-06-06 Hongliang Lai , Dexue Zhang , Gao Zhang

Fuzzy anti-norm and corresponding $\alpha$-norms are defined. A few properties of finite dimensional fuzzy anti-normed linear space are studied. Fuzzy $\alpha$-anti-convergence and fuzzy $\alpha$-anti-complete linear space are defined and a…

General Mathematics · Mathematics 2012-02-21 Bivas Dinda , T. K. Samanta , Iqbal H. Jebril

The present paper comes across the main steps that laid from Zadeh's fuzziness ana Atanassov's intuitionistic fuzzy sets to Smarandache's indeterminacy and to Molodstov's soft sets. Two hybrid methods for assessment and decision making…

Artificial Intelligence · Computer Science 2022-11-29 Michael Gr. Voskoglou

In this article, we have introdued D-fuzzy sets. We have discussed the notions of inclusion, union, intersection, complementation and convexity of such D-fuzzy sets. Also we have proved separation theorem of convex D-fuzzy sets.

Complex Variables · Mathematics 2024-01-17 Chinmay Ghosh , Sanjib Kumar Datta , Soumen Mondal

The concept of quasi-partial b-metric-like spaces is being introduced and studied with the help of topology. Examples are also discussed to support the results. Some fixed point theorems are proved in the setting of quasi-partial…

General Topology · Mathematics 2018-12-04 Anuradha Gupta , Manu Rohilla

The aim of this paper is to introduce the notion of bipolar fuzzy soft hypervector spaces and study their basic properties. In this regard, at first some new operation and external hyperoperation are defined on bipolar fuzzy soft sets over…

General Mathematics · Mathematics 2023-10-12 O. R. Dehghan