A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES

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JAGER GUNTHER

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Journal: Iranian Journal of Fuzzy Systems Year:2017 | Volume:14 | Issue:3 Page(s): 67-81

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Information Journal Paper

Title

A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES

Author(s)

JAGER GUNTHER | Issue Writer Certificate

Keywords

STRATIFIED LATTICE-VALUED UNIFORMITYQ2

STRATIFIED LATTICE-VALUED UNIFORM CONVERGENCE SPACEQ2

PROBABILISTIC UNIFORM CONVERGENCE SPACEQ2

APPROACH UNIFORM CONVERGENCE SPACEQ2

STRATIFIED LM-FILTERQ2

Abstract

We develop a general framework for various lattice-valued, probabilistic and APPROACH UNIFORM CONVERGENCE SPACEs. To this end, we use the concept of s-stratified LM- filter, where L and M are suitable frames. A stratified LMN-uniform convergence tower is then a family of structures indexed by a quantale N. For different choices of L; M and N we obtain the lattice valued, probabilistic and APPROACH UNIFORM CONVERGENCE SPACEs as examples. We show that the resulting category sLMN-UCTS is topological, well- bred and Cartesian closed. We furthermore de ne stratified LMN-uniform tower spaces and show that the category of these spaces is isomorphic to the subcategory of stratified LMN-principal uniform convergence tower spaces. Finally we study the underlying stratified LMN-convergence tower spaces.

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APA: Copy

JAGER, GUNTHER. (2017). A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 14(3 ), 67-81. SID. https://sid.ir/paper/113348/en

Vancouver: Copy

JAGER GUNTHER. A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2017;14(3 ):67-81. Available from: https://sid.ir/paper/113348/en

IEEE: Copy

GUNTHER JAGER, “A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 14, no. 3 , pp. 67–81, 2017, [Online]. Available: https://sid.ir/paper/113348/en

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